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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
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Related topics

Related topics

3 relations

Broader (1)

Ergodic theory
Pushforward (differential)Quantum ergodicity

Papers overview

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2017
2017
N-Legendre and N-slant curves in the unit tangent bundle of surfaces
Let (T1M; g1) be a unit tangent bundle of some surface (M; g) en-dowed with the induced Sasaki metric. In this present paper, we… Expand
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2012
2012
Tetrahedral Mesh Construction for Unit Tangent Bundle over Genus-Zero Surfaces
Unit tangent bundle of a surface carries various information of tangent vector fields on that surface. For 2-spheres (i.e. genus… 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
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Highly Cited
2003
Highly Cited
2003
Invariant distributions and time averages for horocycle flows
There are infinitely many obstructions to existence of smooth solutions of the cohomological equation Uu = f , where U is the… Expand
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2003
2003
On the projections of measures invariant under the geodesic flow
Let M be a compact Riemannian surface (a two-dimensional Riemannian manifold),with μ a probability measure on the unit tangent… Expand
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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
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1990
1990
Rigidity and other topological aspects of compact nonpositively curved manifolds
Let M be a compact connected Riemannian manifold whose sectional curvature values are all nonpositive. Let T denote the… Expand
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1987
1987
Semi-rigidity of horocycle flows over compact surfaces of variable negative curvature
Quaternary alkylated aromatics prepared by alkylation of unsaturated bond using dialkylcopper lithium which are useful for… Expand
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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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