# 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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## Papers overview

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2012
2012
We study Selberg zeta functions $Z(s,\sigma)$ associated to locally homogeneous vector bundles over the unit-sphere bundle of a…
2010
2010
• IEEE Computer Society Conference on Computer…
• 2010
• Corpus ID: 8328931
The phenomenon of visual curve completion, where the visual system completes the missing part (e.g., due to occlusion) between…
2007
2007
• 2007
• Corpus ID: 18411327
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
• 2001
• Corpus ID: 16604689
In this paper, we study the behaviour of the counting function associated to the closed geodesics lying in a prescribed homology…
1999
1999
Recently there has been some renewed interest in Laguerre differential geometry [1], [2], [3]. This geometry was to a large…
Review
1999
Review
1999
• 1999
• Corpus ID: 17196411
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
• 1996
• Corpus ID: 121616468
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
• 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
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
• 1980
• Corpus ID: 123383548
Markov Partitions for some classes of billiards in two-dimensional domains on ℝ2 or two-dimensional torus are constructed. Using…