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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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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
The phenomenon of visual curve completion, where the visual system completes the missing part (e.g., due to occlusion) between… 
2007
2007
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
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
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
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
Markov Partitions for some classes of billiards in two-dimensional domains on ℝ2 or two-dimensional torus are constructed. Using…