Integrable hierarchies, Frölicher-Nijenhuis bicomplexes and Lauricella bi-flat F-manifolds. (English) Zbl 1540.37097
Reviewer: Miroslav Doupovec (Brno)
Found 63 Documents (Results 1–63)
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank. (English) Zbl 1542.17045
Reviewer: Ruben Louis (Metz)
Higher Haantjes brackets and integrability. (English) Zbl 1494.37045
Reviewer: Tihomir Valchev (Sofia)
Nijenhuis operators on Hom-Lie algebras. (English) Zbl 1503.17024
Reviewer: García Rosendo (Guanajuato)
Strongly homotopy Lie algebras and deformations of calibrated submanifolds. (English) Zbl 1487.32065
Frölicher-Nijenhuis bracket on manifolds with special holonomy. (English) Zbl 1448.53030
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, 201-215 (2020).
On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications. (English) Zbl 1421.35325
Reviewer: Ahmed Lesfari (El Jadida)
Frölicher-Nijenhuis cohomology on \(G_2\)- and \(\mathrm{Spin}(7)\)-manifolds. (English) Zbl 1403.53044
The Frölicher-Nijenhuis bracket and the geometry of \(G_2\)-and spin(7)-manifolds. (English) Zbl 1386.53052
Almost analytic forms with respect to a quadratic endomorphism and their cohomology. (English) Zbl 1342.53045
Covariant Lie derivatives and Frölicher-Nijenhuis bracket on Lie algebroids. (English) Zbl 1329.53023
Lie algebroids generated by cohomology operators. (English) Zbl 1330.58014
Reviewer: Marta Macho Stadler (Leioa)
Some applications of the Mangiarotti-Modugno formula for tangent-valued forms. (English) Zbl 1307.58001
Reviewer: Basile Guy Richard Bossoto (Brazzaville)
Lie groupoids and the Frölicher-Nijenhuis bracket. (English) Zbl 1296.22004
Reviewer: Marta Macho Stadler (Leioa)
MSC:
22A22
Symmetric curvature tensor. (English) Zbl 1260.53032
Differential geometry of microlinear Frölicher spaces. III. (English) Zbl 1242.58001
Reviewer: Andrew Bucki (Edmond)
Algebraic theories of brackets and related (co)homologies. (English) Zbl 1210.17028
Reviewer: Pasha Zusmanovich (Tallinn)
About the cohomology of the Lie superalgebra of vector fields on \(\mathbb R^{n|n}\). (English) Zbl 1188.17016
Reviewer: Pasha Zusmanovich (Reykjavik)
Flow prolongation of some tangent valued forms. (English) Zbl 1174.53312
Reviewer: Marco Modugno (Firenze)
Geometric structures of the classical general relativistic phase space. (English) Zbl 1160.53008
Reviewer: Miroslav Doupovec (Brno)
Differential invariants of generic hyperbolic Monge-Ampère equations. (English) Zbl 1129.58015
Reviewer: Maido Rahula (Tartu)
Geometric structures on the tangent bundle of the Einstein spacetime. (English) Zbl 1164.53318
Reviewer: Ivan Kolář (Brno)
Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles. (English) Zbl 1131.58002
Reviewer: Witold Mozgawa (Lublin)
MSC:
58A05
Bidifferential calculi, bicomplex structure and its application to bihamiltonian systems. (English) Zbl 1134.37354
A note on bi-differential calculi and bi-Hamiltonian systems. (English) Zbl 1110.37043
Reviewer: Josef Janyška (Brno)
Prolongation of projectable tangent valued forms. (English) Zbl 1090.53031
Reviewer: Josef Janyška (Brno)
Natural operations in differential geometry. Transl. from the English. (Estestvennye operatsii v differentsial’noj geometrii.) (Russian) Zbl 1084.53001
Metody Matematicheskogo Modelirovaniya 10. Kiev: TIMPANI (ISBN 966-7649-10-5/hbk). viii, 447 p. (2001).
Reviewer: Liliana Răileanu (Iaşi)
On the Chern-Weil homomorphism in Finsler spaces. (English) Zbl 1010.53056
Reviewer: L.Tamássy (Debrecen)
Affinors and connections in higher order geometry. (English) Zbl 0973.53016
Kolář, Ivan (ed.) et al., Differential geometry and applications. Proceedings of the 7th international conference, DGA 98, and satellite conference of ICM in Berlin, Brno, Czech Republic, August 10-14, 1998. Brno: Masaryk University. 239-246 (1999).
Cohomology background in geometry of PDE. (English) Zbl 0941.58011
Henneaux, Marc (ed.) et al., Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24-31, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 219, 121-139 (1998).
More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry. (English) Zbl 0889.58011
Reviewer: V.G.Angelov (Sofia)
Recent results and new ideas on Weil bundles. (English) Zbl 0853.58006
Albu, Adrian C. (ed.) et al., Proceedings of the 24th national conference of geometry and topology, Timişoara, România, July 5-9, 1994. Part one. Lectures. Timişoara: Editura Mirton. 127-136 (1996).
Reviewer: M.Marvan (Opava)
MSC:
58A20
Graded differential equations and their deformations: A computational theory for recursion operators. (English) Zbl 0841.58033
Graded Frölicher-Nijenhuis brackets and the theory of recursion operators for super differential equations. (English) Zbl 0841.58032
Lychagin, V. V. (ed.), The interplay between differential geometry and differential equations. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 167(24), 91-129 (1995).
Some variations on the notion of connection. (English) Zbl 0817.53015
Reviewer: A.Vondra (Brno)
The Frölicher-Nijenhuis bracket in non-commutative differential geometry. (English) Zbl 0830.58002
Reviewer: V.G.Angelov (Sofia)
Special tangent valued forms and the Frölicher-Nijenhuis bracket. (English) Zbl 0801.53014
MSC:
53C05
The relation between systems and associated bundles. (English) Zbl 0780.53026
Reviewer: M.Modugno (Firenze)
MSC:
53C05
Natural operations in differential geometry. (English) Zbl 0782.53013
Berlin: Springer-Verlag. vi, 434 p. (corrected electronic version) (1993).
Reviewer: M.de León (Madrid)
Frölicher and Nijenhuis operations for noncommutative rings. (English) Zbl 0822.16024
Catto, Sultan (ed.) et al., Differential geometric methods in theoretical physics. Proceedings of the 20th international conference, June 3-7, 1991, New York City, NY, USA. Vol. 1-2. Singapore: World Scientific. 584-593 (1992).
A geometric approach to a second-order system of partial differential equations within the context of the calculus on vector-valued differential forms. (English) Zbl 0788.58020
Reviewer: J.Monterde (Burjasot)
Torsions of connections on some natural bundles. (English) Zbl 0783.53021
Reviewer: K.Marathe (Brooklyn)
Some new cohomological invariants for nonlinear differential equations. (English) Zbl 0765.58028
Reviewer: I.S.Krasil’shchik (Moskva)
On the equivalence of a type of bundle valued 1-forms and pseudoconnections. (English) Zbl 0880.53021
MSC:
53C05
Remarks on the differential identities in Schouten-Nijenhuis algebra. (English) Zbl 0762.17024
Differential geometric methods in theoretical physics, Proc. 19th Int. Conf., Rapallo/Italy 1990, Lect. Notes Phys. 375, 298-310 (1991).
Reviewer: M.Modugno (Firenze)
Derived algebra of the Frölicher-Nijenhuis bracket algebra. (English) Zbl 0768.58002
Geometry and physics, Proc. Winter Sch., Srni/Czech. 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 26, 237-243 (1991).
Reviewer: P.W.Michor (Wien)
The system of principal connections. (English) Zbl 0759.53017
Reviewer: V.Cruceanu (Iaşi)
Natural operations with projectable tangent valued forms on a fibred manifold. (English) Zbl 0754.58012
Reviewer: J.Chrastina (Brno)
Gauge theory for fiber bundles. (English) Zbl 0953.53001
Monographs and Textbooks in Physical Science. Lecture Notes. 19. Naples: Bibliopolis. iv, 109 p. (1991).
Reviewer: Bernd Wegner (Berlin)
A cohomology for vector valued differential forms. (English) Zbl 0654.58003
Reviewer: H.Schicketanz
Cohomology of the Lagrange complex. (English) Zbl 0654.58010
Reviewer: L.Maxim Răileanu
Remarks on the Frölicher-Nijenhuis bracket. (English) Zbl 0633.53024
Differential geometry and its applications, Proc. Conf., Brno/Czech. 1986, Math. Appl., East Eur. Ser. 27, 197-220 (1987).
Reviewer: S.I.Andersson
Bundle splittings, connections and locally principal fibred manifolds. (English) Zbl 0663.53025
Reviewer: P.R.Rodrigues
MSC:
53C05
Projective sprays and connections. (English) Zbl 0521.53038
Differential geometry, Budapest 1979, Colloq. Math. Soc. Janos Bolyai 31, 311-315 (1982).
MSC:
53C05
De Rham currents and sprays. (English) Zbl 0512.58009
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