Deformations of \(\text{G}_2\)-instantons on nearly \(\text{G}_2\) manifolds. (English) Zbl 1539.53035
Reviewer: Giovanni Bazzoni (Como)
Found 49 Documents (Results 1–49)
On almost complex structures on six-dimensional products of spheres. (English. Russian original) Zbl 1447.53030
J. Math. Sci., New York 245, No. 5, 568-600 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 146, 17-47 (2018).
Frölicher-Nijenhuis cohomology on \(G_2\)- and \(\mathrm{Spin}(7)\)-manifolds. (English) Zbl 1403.53044
Isospectral nearly Kähler manifolds. (English) Zbl 1394.53072
Reviewer: Nicolai K. Smolentsev (Kemerovo)
A spinorial energy functional: critical points and gradient flow. (English) Zbl 1358.53052
Reviewer: Simon Chiossi (Niteroi)
MSC:
53C27
On the existence of \(G_2\) class structures on a strictly nearly Kähler six-dimensional manifold. (Russian. English summary) Zbl 07604783
Special warped-like product manifolds with (weak) \(G_{2}\) holonomy. (English) Zbl 1328.53061
Ukr. Math. J. 65, No. 8, 1257-1272 (2014) and Ukr. Mat. Zh. 65, No. 8, 1126-1140 (2013).
On integrability of an almost complex structure on a strictly nearly Kähler 6-manifold. (English. Russian original) Zbl 1306.53012
Sib. Math. J. 55, No. 1, 49-52 (2014); translation from Sib. Mat. Zh. 55, No. 1, 61-65 (2014).
Reviewer: Giovanni Bazzoni (Bielefeld)
Twistorial eigenvalue estimates for generalized Dirac operators with torsion. (English) Zbl 1287.58015
Reviewer: Peter B. Gilkey (Eugene)
Closed forms and multi-moment maps. (English) Zbl 1275.53077
Reviewer: Mircea Crâşmăreanu (Iaşi)
The truncation and renormalizability of the superstring and heterotic string effective actions. (English) Zbl 1285.81055
Energy functionals and soliton equations for \(G_2\)-forms. (English) Zbl 1311.53056
MSC:
53C44
53C10
Noncompact Riemannian spaces with the holonomy group spin\((7)\) and 3-Sasakian manifolds. (English. Russian original) Zbl 1179.53057
Proc. Steklov Inst. Math. 263, 2-12 (2008); translation from Tr. Mat. Inst. Steklova 263, 6-17 (2008).
Reviewer: Joseph D. Zund (Las Cruces)
Curvature decomposition of \(G_2\)-manifolds. (English) Zbl 1175.53035
Reviewer: Vicente Cortés (Hamburg)
Flat nearly Kähler manifolds. (English) Zbl 1135.53048
Reviewer: Dimitrii V. Alekseevsky (Edinburgh)
Spin(9)-structures and connections with totally skew-symmetric torsion. (English) Zbl 1039.53049
Reviewer: Iskander A. Taimanov (Novosibirsk)
Cohomogeneity-one \(G_{2}\)-structures. (English) Zbl 1025.53024
Reviewer: Jürgen Berndt (Hull)
Matter from \(G_2\) manifolds. (English) Zbl 0998.81069
Integrable reductions of Spin(7)- and \(G_2\)-invariant self-dual Yang-Mills equations and gravity. (English) Zbl 1039.53504
Stable forms and special metrics. (English) Zbl 1004.53034
Fernández, Marisa (ed.) et al., Global differential geometry: the mathematical legacy of Alfred Gray. Proceedings of the international congress on differential geometry held in memory of Professor Alfred Gray, Bilbao, Spain, September 18-23, 2000. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 288, 70-89 (2001).
Reviewer: J.D.Zund (Las Cucer)
On nearly parallel \(G_2\)-structures. (English) Zbl 0898.53038
Reviewer: M.Fernandez (Bilbao)
Groups of transformations of Riemannian manifolds. (English. Russian original) Zbl 0735.53026
J. Sov. Math. 55, No. 5, 1996-2041 (1991); translation from Itogi Nauki Tekh., Ser. Probl. Geom. 22, 97-165 (1990).
On the construction of some complete metrics with exceptional holonomy. (English) Zbl 0681.53021
Reviewer: J.Hebda
A new class of quaternionic manifolds. (English) Zbl 0661.53019
Reviewer: L.Ornea
New examples of Riemannian manifolds with structure group \(G_ 2\). (English) Zbl 0617.53050
Reviewer: Z.Olszak
Real hypersurfaces in quaternionic projective space. (English) Zbl 0615.53012
Reviewer: A.Bejancu
A classification of Riemannian manifolds with structure group Spin (7). (English) Zbl 0602.53025
Reviewer: L.A.Cordero
Alcune osservazioni riguardanti i gruppi di Lie \(G_ 2\) e Spin(7), candidati a gruppi di olonomia. (Italian) Zbl 0483.53018
Steiner’s formula for the volume of a parallel hypersurface in a Riemannian manifold. (English) Zbl 0472.53056
MSC:
53C40
Characterization of Riemannian manifolds with weak holonomy group \(G_ 2\) (following A. Gray). (English) Zbl 0459.53027
Characterization of Riemannian manifolds with weak holonomy group \(G_2\) (following A. Gray). (English) Zbl 0449.53026
Riemannian geometry as determined by the volumes of small geodesic balls. (English) Zbl 0428.53017
MSC:
53C20
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