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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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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
Jonathan Pfaff
2012
Corpus ID: 2801315
We study Selberg zeta functions $Z(s,\sigma)$ associated to locally homogeneous vector bundles over the unit-sphere bundle of a…
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2010
2010
Minimum length in the tangent bundle as a model for curve completion
Guy Ben-yosef
,
O. Ben-Shahar
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…
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2007
2007
Remarks on $\eta$-Einstein unit tangent bundles
Y. Chai
,
S. Chun
,
J. H. Park
,
K. Sekigawa
2007
Corpus ID: 18411327
We study the geometric properties of the base manifold for the unit tangent bundle satisfying the $\eta$-Einstein condition with…
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Highly Cited
2001
Highly Cited
2001
Asymptotic Expansions for Closed Orbits in Homology Classes
M. Pollicott
,
Richard Sharp
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…
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1999
1999
Remarks on a Variational Problem in Laguerre Geometry
B. Palmer
1999
Corpus ID: 15482103
Recently there has been some renewed interest in Laguerre differential geometry [1], [2], [3]. This geometry was to a large…
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Review
1999
Review
1999
Classical Limits of Eigenfunctions for Some Completely Integrable Systems
D. Jakobson
,
S. Zelditch
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…
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Highly Cited
1996
Highly Cited
1996
Shortest paths for sub-Riemannian metrics on rank-two distributions
Wensheng Liu
,
H. Sussman
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…
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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
P. Eberlein
1988
Corpus ID: 73670399
Let M denote a complete simply connected manifold of nonpos- itive sectional curvature. For each point p S M let sp denote the…
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Highly Cited
1980
Highly Cited
1980
Markov Partitions for dispersed billiards
L. Bunimovich
,
Y. Sinai
1980
Corpus ID: 123383548
Markov Partitions for some classes of billiards in two-dimensional domains on ℝ2 or two-dimensional torus are constructed. Using…
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