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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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## Papers overview

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2017
2017
• 2017
• Corpus ID: 125316793
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
• 2012
• Corpus ID: 8363191
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
• 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… Expand
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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… Expand
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Highly Cited
2003
Highly Cited
2003
• 2003
• Corpus ID: 14955823
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
• 2003
• Corpus ID: 11584889
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
• 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… Expand
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1990
1990
• 1990
• Corpus ID: 32970600
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
• 1987
• Corpus ID: 84181239
Quaternary alkylated aromatics prepared by alkylation of unsaturated bond using dialkylcopper lithium which are useful for… Expand
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1984
1984
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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