Nonholonomic Riemann and Weyl tensors for flag manifolds

DOI10.1007/s11232-007-0131-zzbMath1141.17019arXivmath/0509399OpenAlexW2136214877MaRDI QIDQ2480110

Dimitry Leites, P. Ya. Grozman

Publication date: 31 March 2008

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509399

zbMATH Keywords

flag manifoldLie algebra cohomologyWeyl tensorRiemann tensorCartan prolongationnonholonomic manifoldTanaka-Shchepochkina prolong

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Supermanifolds and graded manifolds (58A50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Cohomology of Lie (super)algebras (17B56) Nonholonomic systems related to the dynamics of a system of particles (70F25) (G)-structures (53C10) Nonholonomic dynamical systems (37J60)

Related Items (6)

Minkowski superspaces and superstrings as almost real-complex supermanifolds ⋮ On the Schouten and Wagner curvature tensors ⋮ Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\) ⋮ Unnamed Item ⋮ The Schouten curvature tensor and the Jacobi equation in sub-Riemannian geometry ⋮ On a holonomy flag of non-holonomic distributions

Uses Software

• SuperLie

Cites Work

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