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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… (More)
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Topic mentions per year

Topic mentions per year

1994-2018
0102019942018

Related topics

Related topics

3 relations

Broader (1)

Ergodic theory
Pushforward (differential)Quantum ergodicity

Related mentions per year

Related mentions per year

1958-2018
1960198020002020
Unit tangent bundle
Ergodic theory
Pushforward (differential)
Quantum ergodicity

Papers overview

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2017
2017
Mathematical Methods in Inverse Scattering and Spectral Theory
  • 2017
I will discuss joint work with H. Hezari and Z. Lu concerning isospectrality of trapezoidal domains. In 1966, M. Kac popularized… (More)
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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… (More)
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2012
2012
A Tangent Bundle Theory for Visual Curve Completion
Visual curve completion is a fundamental perceptual mechanism that completes the missing parts (e.g., due to occlusion) between… (More)
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Review
2011
Review
2011
Visual curve completion in the tangent bundle
Visual curve completion is a fundamental perceptual mechanism that completes the missing parts (e.g., due to occlusion) between… (More)
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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… (More)
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2008
2008
Remarks on η-Einstein unit tangent bundles
We study the geometric properties of the base manifold for the unit tangent bundle satisfying the η-Einstein condition with the… (More)
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2007
2007
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… (More)
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2007
2007
Topological Pressure for Geodesic Flows
  • GABRIEL P. PATERNAIN
  • 2007
We give a Riemannian formula for the topological pressure of the ge-odesic ow of a closed Riemannian manifold. As a consequence… (More)
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2006
2006
Density of Periodic Geodesics in the Unit Tangent Bundle of a Compact Hyperbolic Surface
  • Marcos Salvai
  • 2006
Let S be a compact oriented surface of constant curvature −1 and let T 1S be the unit tangent bundle of S endowed with the… (More)
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2005
2005
New structures on the tangent bundles and tangent sphere bundles
In this paper we study a Riemanian metric on the tangent bundle T (M) of a Riemannian manifold M which generalizes Sasaki metric… (More)
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