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Unit tangent bundle
About: Unit tangent bundle is a research topic. Over the lifetime, 1056 publications have been published within this topic receiving 15845 citations.
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TL;DR: In this paper, the A and B series for the equivariant tangent bundles over homogenous spaces using Chern polynomial was obtained, which can be used as a valuable testing ground for the theories which associates quantum cohomologies and J functions of nonabelian quotient to abelian quotients via quantization.
Abstract: In this paper, using mirror principle developped by Lian, Liu and Yau [8, 9, 10, 11, 12, 13] we obtained the A and B series for the equivariant tangent bundles over homogenous spaces using Chern polynomial. This is necessary to obtain related cohomology valued series for given arbitrary vector bundle and multiplicative characteristic class. Moreover, this can be used as a valuable testing ground for the theories which associates quantum cohomologies and J functions of non-abelian quotient to abelian quotients via quantization.
2 citations
Posted Content•
TL;DR: In this article, the authors characterize Kaehler manifolds with trivial logarithmic tangent bundle (with respect to a divisor D) as a class of certain compatifications of complex semi-tori.
Abstract: We characterize Kaehler manifolds with trivial logarithmic tangent bundle (with respect to a divisor D) as a class of certain compatifications of complex semi-tori.
2 citations
TL;DR: In this paper, it was shown that if the unit codisc bundle of a closed Riemannian manifold embeds symplectically into a symplectic cylinder of radius one, then the length of the shortest nontrivial closed geodesic is at most half the area of the unit disc.
Abstract: We prove that if the unit codisc bundle of a closed Riemannian manifold embeds symplectically into a symplectic cylinder of radius one then the length of the shortest nontrivial closed geodesic is at most half the area of the unit disc.
2 citations
01 Jan 2005
TL;DR: In this article, the canonical involution in the second order iterated tangent bundle is generalised for an arbitrary order and transfered to jet spaces, and the classification of all symmetrised nonholonomic jets of the third order is given.
Abstract: The canonical involution in the second order iterated tangent bundle is generalised for an arbitrary order and transfered to jet spaces. The classification of all symmetrised nonholonomic jets of the third order is given.
2 citations
1 citations