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Riemannian manifolds : an introduction to curvature /
Published 1997Subjects: “…Riemannian manifolds…”
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Approximation of Densities on Riemannian Manifolds
Published 2019-01-01Subjects: Get full text
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Riemannian manifolds are KKM spaces
Published 2019-05-01Subjects: “…riemannian manifold…”
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On convexity in product of Riemannian manifolds
Published 2016“…In this paper, the concept of convexity and starshapedness in the cartesian product of two complete, simple connected smooth Riemannian manifolds without conjugate points are studied in terms of the same concepts in the components of product. …”
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Analysis for diffusion processes on Riemannian manifolds /
Published 2014Subjects: “…Riemannian manifolds…”
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On concurrent vector fields on Riemannian manifolds
Published 2023-08-01“…It is shown that the presence of a non-zero concurrent vector field on a Riemannian manifold poses an obstruction to its topology as well as certain aspects of its geometry. …”
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Fluctuation theorem on a Riemannian manifold
Published 2024-04-01“…Based on the covariant underdamped and overdamped Langevin equations with Stratonovich coupling to multiplicative noises and the associated Fokker-Planck equations on a Riemannian manifold, we present the first law of stochastic thermodynamics on the trajectory level. …”
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On Killing Vector Fields on Riemannian Manifolds
Published 2021-01-01“…We study the influence of a unit Killing vector field on geometry of Riemannian manifolds. For given a unit Killing vector field <inline-formula><math display="inline"><semantics><mi mathvariant="bold">w</mi></semantics></math></inline-formula> on a connected Riemannian manifold <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>M</mi><mo>,</mo><mi>g</mi><mo>)</mo></mrow></semantics></math></inline-formula> we show that for each non-constant smooth function <inline-formula><math display="inline"><semantics><mrow><mi>f</mi><mo>∈</mo><msup><mi>C</mi><mo>∞</mo></msup><mrow><mo>(</mo><mi>M</mi><mo>)</mo></mrow></mrow></semantics></math></inline-formula> there exists a non-zero vector field <inline-formula><math display="inline"><semantics><msup><mi mathvariant="bold">w</mi><mi>f</mi></msup></semantics></math></inline-formula> associated with <i>f</i>. …”
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Heteroclinic orbits on noncompact Riemannian manifolds
Published 1995-02-01“…In this paper we consider a second order hamiltonian system on non-compact Riemannian manifolds. We prove the existence of one heteroclinic orbit under the assumption that the potential V is periodic in t and has two maximum points independent of t. …”
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Vibrating quantum billiards on Riemannian manifolds
Published 2001“…First, we derive a theorem detailing necessary conditions for the existence of chaos in vibrating quantum billiards on Riemannian manifolds. Numerical observations suggest that these conditions are also sufficient. …”
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On the analysis of isometric immersions of Riemannian manifolds
Published 2020“…<p>This thesis is a study of problems related to isometric immersions of Riemannian manifolds in Euclidean space. We address three main questions: the weak continuity of geometric invariants along sequences of immersions of Riemannian manifolds; the construction of isometric immersions by weak compactness methods; and the validity and regularity of the Gauss equation.…”
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An approach for imitation learning on Riemannian manifolds
Published 2017“…In this work we present an extension of common imitation learning techniques to Riemannian manifolds. This generalization enables the encoding of joint distributions that include the robot pose. …”
Journal article