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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… 
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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.
2012
2012
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… 
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… 
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… 
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… 
1999
1999
Remarks on a Variational Problem in Laguerre Geometry
Recently there has been some renewed interest in Laguerre differential geometry [1], [2], [3]. This geometry was to a large… 
Review
1999
Review
1999
Classical Limits of Eigenfunctions for Some Completely Integrable Systems
We give an overview of some old results on weak* limits of eigenfunctions and prove some new ones. We first show that on M = (S n… 
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… 
Highly Cited
1988
Highly Cited
1988
Geodesic flow on the two-sphere, Part I: Positive measure entropy
  • V. Donnay
  • Ergodic Theory and Dynamical Systems
  • 1988
  • Corpus ID: 121043636
Abstract A C∞ metric is constructed on S2 whose geodesic flow has positive measure entropy. 
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… 
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… 
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