On Einstein Equations on Manifolds and Supermanifolds

DOI10.2991/jnmp.2002.9.4.3zbMath1009.35085arXivmath/0306209OpenAlexW2163430351MaRDI QIDQ4780619

Elena Poletaeva, Dimitry Leites, Vera V. Serganova

Publication date: 20 November 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306209

zbMATH Keywords

Einstein equationsGrassmannianmanifolds with \(G\)-structuresupermanifold with \(G\)-structure

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) PDEs in connection with relativity and gravitational theory (35Q75)

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Cites Work

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• Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields
• The Riemann tensor for nonholonomic manifolds
• Analogues of Riemann tensors for the odd metric on supermanifolds
• Unconstrained off-shell N=3 supersymmetric Yang-Mills theory
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Penrose's tensors on supergrassmannians.
• Lie superalgebras

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