86 citations · 478 across the 67 of their papers we have counts for
5 papers · 1 filter
Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries
Andrey Krutov, Dimitry Leites, Irina Shchepochkina
Under usual locality assumptions, we classify all non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries over : we single out 15 s…
Superization of Kaehler and hyper-Kaehler manifolds
Dimitry Leites
Let be an (almost) complex structure on a manifold ; let~ be a~pseudo-Hermitian with respect to non-degenerate symmetric form on the tangent bundle over~$\…
Minkowski superspaces and superstrings as almost real-complex supermanifolds
Sofiane Bouarroudj, Pavel Grozman, Dimitry Leites +1
In 1996/7, J. Bernstein observed that smooth or analytic supermanifolds that mathematicians study are real or (almost) complex ones, while Minkowski superspaces are completely diff…
The nonholonomic Riemann and Weyl tensors for flag manifolds
Pavel Grozman, Dimitry Leites
On any manifold, any non-degenerate symmetric 2-form (metric) and any skew-symmetric (differential) form W can be reduced to a canonical form at any point, but not in any neighborh…
On Einstein equations on manifolds and supermanifolds
D. Leites, E. Poletaeva, V. Serganova
The Einstein equations (EE) are certain conditions on the Riemann tensor on the real Minkowski space M. In the twistor picture, after complexification and compactification M become…