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ВИДЕОТЕКА |
Международная молодежная конференция «Геометрия и управление»
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Sub-Riemannian and Riemannian Structures on the Lie Algebroids Evgeny Kornev Kemerovo State University, Kemerovo, Russia |
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Аннотация: A Lie Algebroid is generalization of Lie Algebra for orbitrary vector bundle over a some manyfold. An Affinor Structure is generalization of Almost Complex Structure preserving the some symplectic form for fixed regular 1-form with nontrivial radical of orbitrary dimension. Unlike a Symplectic or Contact structure Afffinor Structure can be taken on any Lie Algebroid of any dimension, and the based 1-form can be degenerated having the radical of orbitrary dimension. These Affinor Structures generate a special Subriemannian and Riemannian structures on Lie Algebroids. Язык доклада: английский |