Found 385 Documents (Results 1–100)
On \(G_2\) manifolds with cohomogeneity two symmetry. (English) Zbl 07877944
Reviewer: Benjamin McKay (Cork)
Some observations on conformal symmetries of \(G_2\)-structures. (English) Zbl 07844824
Reviewer: Rui Albuquerque (Lisboa)
Betti numbers of nearly \(G_2\) and nearly Kähler 6-manifolds with Weyl curvature bounds. (English) Zbl 07839442
Reviewer: Paul Schwahn (Gif-sur-Yvette)
On the existence of homogeneous solitons of gradient type for the \(\mathrm{G}_2\)-Laplacian flow. (English) Zbl 07836139
Reviewer: Lothar Schiemanowski (Kiel)
\(G_2\)-instantons on the spinor bundle of the 3-sphere. (English) Zbl 07835132
Reviewer: Kai Zheng (Coventry)
Machine learning Sasakian and \(G_2\) topology on contact Calabi-Yau 7-manifolds. (English) Zbl 07831829
Theory of \(J\)-characteristics of four-level designs under quaternary codes. (English) Zbl 1534.62118
K3 surfaces with two involutions and low Picard number. (English) Zbl 1537.14055
Reviewer: Makiko Mase (Tōkyō)
\(G_2\)-instantons on resolutions of \(G_2\)-orbifolds. (English) Zbl 07824909
Reviewer: Juan Rojo (Madrid)
Closed \(\mathrm{G}_2\)-structures on unimodular Lie algebras with non-trivial center. (English) Zbl 1536.53066
Reviewer: Giovanni Calvaruso (Lecce)
Two phases queue systems with dependent phases service times via copula. (English) Zbl 07814730
MSC:
90Bxx
Deformation theory of asymptotically conical \(\mathrm{Spin}(7)\)-instantons. (English) Zbl 1541.53064
Reviewer: Sergiy Koshkin (Houston)
The Coulomb gauge in non-associative gauge theory. (English) Zbl 1528.53023
Reviewer: Benjamin McKay (Cork)
Reductive homogeneous spaces of the compact Lie group \(G_2\). (English) Zbl 1537.22050
Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 29-63 (2023).
Two-symbol system of encoding of numbers and discrete distributions of random variables. (Ukrainian. English summary) Zbl 07799302
New examples of \(\mathrm{G}_2\)-structures with divergence-free torsion. (English) Zbl 1541.53033
Reviewer: Shubham Dwivedi (Berlin)
Toward a sharp Baer-Suzuki theorem for the \(\pi \)-radical: exceptional groups of small rank. (English. Russian original) Zbl 1537.20037
Algebra Logic 62, No. 1, 1-21 (2023); translation from Algebra Logika 62, No. 1, 3-32 (2023).
Reviewer: Egle Bettio (Venezia)
On automorphic descent from \(\mathrm{GL}_7\) to \(G_2\). (English) Zbl 07774911
Reviewer: Ivan Matić (Osijek)
The exceptional Lie algebra \(\mathfrak{g}_2\) is generated by three generators subject to quadruple relations. (English) Zbl 07770086
Reviewer: Cristina Draper Fontanals (Málaga)
MSC:
17B25
Closed \({G_2}\)-structures on compact quotients of Lie groups. (English) Zbl 1533.53022
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 733-748 (2023).
Reviewer: Giovanni Bazzoni (Como)
Dancing polygons, rolling balls, and the Cartan-Engel distribution. (English) Zbl 07734501
Reviewer: Gabriela Cristescu (Arad)
Quadratic closed \(\mathrm{G}_2\)-structures. (English) Zbl 07731080
Reviewer: Kai Zheng (Coventry)
Canonical orientations for moduli spaces of \(G_2\)-instantons with gauge group \(\mathrm{SU}(m)\) or \(\mathrm{U}(m)\). (English) Zbl 1529.53022
Reviewer: Jesus Muciño Raymundo (Morelia)
Associative submanifolds in Joyce’s generalised Kummer constructions. (English) Zbl 1525.53066
Reviewer: Giovanni Russo (Miami)
A local Langlands parameterization for generic supercuspidal representations of \(p\)-adic \(G_2\). (English. French summary) Zbl 1528.11120
Reviewer: Moshe Adrian (New York)
Systematic enumeration of two-level even-odd designs of strength 3. (English) Zbl 1543.62059
MSC:
62-08
Extra-twisted connected sum \(G_2\)-manifolds. (English) Zbl 1518.53048
Reviewer: Ahmed Lesfari (El Jadida)
A construction of \(G_2\)-manifolds from K3 surfaces with a \(\mathbb{Z}_2^2\)-action. (English) Zbl 1529.53023
Reviewer: Shubham Dwivedi (Berlin)
Howe duality and dichotomy for exceptional theta correspondences. (English) Zbl 1516.11050
Reviewer: Ivan Matić (Osijek)
The \(\mathbf{q}\)-characters of minimal affinizations of type \(G_2\) arising from cluster algebras. (English) Zbl 1506.13037
Isometric flows of \(G_2\)-structures. (English) Zbl 07819144
Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 545-553 (2022).
Two-frame fields on simply connected spin 7-manifolds. (English) Zbl 1542.57025
Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 525-532 (2022).
Associative submanifolds and gradient cycles. (English) Zbl 07817743
Cao, Huai-Dong (ed.) et al., Differential geometry, Calabi-Yau theory, and general relativity. Part 2. Lectures and articles celebrating the 70th birthday of Shing-Tung Yau, Harvard University, Cambridge, MA, USA, May 2019. Somerville, MA: International Press. Surv. Differ. Geom. 24, 39-65 (2022).
Reviewer: Yuwei Fan (Beijing)
Extremally Ricci pinched \(G_2\)-structures on Lie groups. (English) Zbl 1522.53015
Reviewer: Matthew Randall (Nanjing)
Recent results on closed \(\mathrm{G}_2\)-structures. (English) Zbl 1509.53003
Hervik, Sigbjørn (ed.) et al., Geometry, Lie theory and applications. Proceedings of the Abel symposium 2019, Ålesund, Norway June 24–28, 2019. Cham: Springer. Abel Symp. 16, 49-67 (2022).
Reviewer: Martin Chuaqui Farrú (Santiago de Chile)
Irregular Hodge numbers for rigid \(G_2\)-connections. (English) Zbl 1499.14017
Reviewer: Vladimir P. Kostov (Nice)
Maximal antipodal sets related to \(G_2\). (English) Zbl 1515.22012
Reviewer: Marian Ioan Munteanu (Iaşi)
Flows of \(G_2\)-structures on contact Calabi-Yau 7-manifolds. (English) Zbl 1506.53106
Reviewer: Guokuan Shao (Zhuhai)
The completed standard \(L\)-function of modular forms on \(G_2\). (English) Zbl 1502.11059
Reviewer: Ivan Matić (Osijek)
The Weitzenbock formula for the Fueter-Dirac operator. (English) Zbl 1504.53067
Reviewer: Antonella Nannicini (Firenze)
A note on the compatibility of \(G_2\)-structures with symplectic structures. (English) Zbl 1501.53086
A non Ricci-flat Einstein pseudo-Riemannian metric on a 7-dimensional nilmanifold. (English) Zbl 1525.53058
An integral formula for \(G_2\)-structures. (English) Zbl 1493.53035
Reviewer: Francesco Cattafi (Würzburg)
Boundary and Eisenstein cohomology of \(G_2(\mathbb{Z})\). (English) Zbl 1494.11051
Reviewer: Ivan Matić (Osijek)
\(S^1\)-invariant Laplacian flow. (English) Zbl 1487.53037
Reviewer: Anna Fino (Torino)
A new example of a compact ERP \(G_2\)-structure. (English) Zbl 1525.53030
Reviewer: Alejandro Gil-García (Hamburg)
A criterion for sharpness in tree enumeration and the asymptotic number of triangulations in Kuperberg’s \(G_2\) spider. (English) Zbl 1506.05102
Reviewer: V. Yegnanarayanan (Chennai)
Analysis of an unreliable single server batch arrival queue with two types of services under Bernoulli vacation policy. (English) Zbl 07530958
MSC:
62-XX
Deformations of nearly \(G_2\) structures. (English) Zbl 1496.53033
Reviewer: Anna Fino (Torino)
S.-S. Chern’s study of almost-complex structures on the six-sphere. (English) Zbl 1490.53019
Reviewer: Nicolai K. Smolentsev (Kemerovo)
Double-bosonization and Majid’s conjecture. II: Irregular \(R\)-matrices and type-crossing to \(G_2\). (English) Zbl 1501.17010
Dynamical equilibrium states of a class of irrotational non-orthogonally transitive \(G_2\) cosmologies. I: The conjecture of chaotic cosmological inhomogeneity. (English) Zbl 1482.83133
Dynamical equilibrium states of a class of irrotational non-orthogonally transitive \(G_2\) cosmologies. II: Models with one hypersurface-orthogonal Killing vector field. (English) Zbl 1482.83144
Exotic \(G_2\)-manifolds. (English) Zbl 1481.57045
Reviewer: Karl Heinz Dovermann (Honolulu)
Modular forms on \(G_2\) and their standard \(L\)-function. (English) Zbl 1490.11060
Müller, Werner (ed.) et al., Relative trace formulas. Proceedings of the Simons symposium, Schloss Elmau, Germany, April 22–28, 2018. Cham: Springer. Simons Symp., 379-427 (2021).
Reviewer: Didier Lesesvre (Lille)
The geometry of marked contact Engel structures. (English) Zbl 1490.53093
Reviewer: Jun Zhang (Montréal)
MSC:
53D10
Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces. (English) Zbl 1482.53057
Reviewer: Anna Fino (Torino)
Conformal transformations of the pseudo-Riemannian metric of a homogeneous pair. (English) Zbl 1469.53074
\(\operatorname{SO}(3)\)-invariant \(G_2\)-cobordisms. (English) Zbl 1476.53053
Reviewer: Aleksy Tralle (Olsztyn)
On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\). (English) Zbl 1470.11134
Reviewer: Ivan Matić (Osijek)
MSC:
11F70
Construction of \(\mathrm{G}_2\)-instantons via twisted connected sums. (English) Zbl 1477.14061
Reviewer: Ahmed Lesfari (El Jadida)
On a conjecture about an analogue of Tokuyama’s theorem for \(G_2\). (English) Zbl 1491.17004
Reviewer: Solomon Friedberg (Chestnut Hill)
The energy functional of \(G_2\)-structures compatible with a background metric. (English) Zbl 1462.53015
A new construction of compact torsion-free \(G_2\)-manifolds by gluing families of Eguchi-Hanson spaces. (English) Zbl 1464.53067
Reviewer: Mohammed El Aïdi (Bogotá)
On certain classes of \(\mathbf{Sp}(4, \mathbb{R})\) symmetric \(G_2\) structures. (English) Zbl 1459.53039
Jacobi relations on naturally reductive spaces. (English) Zbl 1470.53042
Reviewer: Yurii G. Nikonorov (Volgodonsk)
Integral geometry of exceptional spheres. (English) Zbl 1464.53096
Reviewer: Boris Rubin (Baton Rouge)
A circle quotient of a \(G_2\) cone. (English) Zbl 1464.53066
Reviewer: Mihail Banaru (Smolensk)
On the relation between \(G_2^*\) structures and almost paracontact structures. (English) Zbl 1458.53036
\(q\)-difference equations for \(q\)-hypergeometric integrals of type \(G_2\). (English) Zbl 1465.33016
Reviewer: Christoph Koutschan (Linz)
Deformation theory of \(\mathrm{G}_2\) conifolds. (English) Zbl 1475.53055
Reviewer: Andrea Spiro (Camerino)
Group of continuous transformations of real interval preserving tails of \(G_2\)-representation of numbers. (English) Zbl 1445.11007
Laplacian coflow on the 7-dimensional Heisenberg group. (English) Zbl 1467.53107
Reviewer: Nicolai K. Smolentsev (Kemerovo)
A remark on the Laplacian flow and the modified Laplacian co-flow in \(G_2\)-geometry. (English) Zbl 1451.53126
Generalizations of 3-Sasakian manifolds and skew torsion. (English) Zbl 1448.53052
Reviewer: Mihail Banaru (Smolensk)
Deformations of calibrated submanifolds with boundary. (English) Zbl 1447.53054
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 365-382 (2020).
Current progress on \(G_2\)-instantons over twisted connected sums. (English) Zbl 1447.53007
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 319-348 (2020).
Flows of co-closed \(G_2\)-structures. (English) Zbl 1447.53004
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 271-286 (2020).
Laplacian flow for closed \(G_2\) structures. (English) Zbl 1447.53008
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 253-269 (2020).
On \(G_2\)-structures, special metrics and related flows. (English) Zbl 1447.53003
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 235-251 (2020).
Geometric flows of \(G_2\) structures. (English) Zbl 1447.53086
Karigiannis, Spiro (ed.) et al., Lectures and surveys on \(G_2\)-manifolds and related topics. Minischool and workshop on \(G_2\)-manifolds, Fields Institute, Toronto, Canada, August 19–25, 2017. New York, NY: Springer. Fields Inst. Commun. 84, 113-140 (2020).
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