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Unit tangent bundle

Known as: Unit sphere bundle 
In Riemannian geometry, a branch of mathematics, the unit tangent bundle of a Riemannian manifold (M, g), denoted by UT(M) or simply UTM, is the unit… Expand
Wikipedia

Related topics

Related topics

3 relations

Broader (1)

Ergodic theory
Pushforward (differential)Quantum ergodicity

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Selberg zeta functions on odd-dimensional hyperbolic manifolds of finite volume
We study Selberg zeta functions $Z(s,\sigma)$ associated to locally homogeneous vector bundles over the unit-sphere bundle of a… Expand
Highly Cited
2012
Highly Cited
2012
Finsler geometric extension of Einstein gravity
We present our Finsler spacetime formalism which extends the standard formulation of Finsler geometry to be applicable in physics… Expand
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2010
2010
Minimum length in the tangent bundle as a model for curve completion
The phenomenon of visual curve completion, where the visual system completes the missing part (e.g., due to occlusion) between… Expand
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2007
2007
Remarks on $\eta$-Einstein unit tangent bundles
We study the geometric properties of the base manifold for the unit tangent bundle satisfying the $\eta$-Einstein condition with… Expand
Highly Cited
2001
Highly Cited
2001
Asymptotic Expansions for Closed Orbits in Homology Classes
In this paper, we study the behaviour of the counting function associated to the closed geodesics lying in a prescribed homology… Expand
Highly Cited
1996
Highly Cited
1996
Shortest paths for sub-Riemannian metrics on rank-two distributions
We study length-minimizing arcs in sub-Riemannian manifolds (M;E;G) whose metric G is de ned on a rank-two bracket-generating… Expand
1989
1989
Invariant tensor fields of dynamical systems with pinched Lyapunov exponents and rigidity of geodesic flows
We consider in this note smooth dynamical systems equipped with smooth invariant affine connections and show that, under a… Expand
1988
1988
Symmetry diffeomorphism group of a manifold of nonpositive curvature
Let M denote a complete simply connected manifold of nonpos- itive sectional curvature. For each point p S M let sp denote the… Expand
1984
1984
Smooth group actions on sphere bundles over spheres and on Brieskorn manifolds
This paper solves one of the problems in (2) proposed by M. Davis. Our result asserts that natural smooth actions on certain… Expand
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Highly Cited
1980
Highly Cited
1980
Markov Partitions for dispersed billiards
Markov Partitions for some classes of billiards in two-dimensional domains on ℝ2 or two-dimensional torus are constructed. Using… Expand
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