Results 11 to 20 of about 47 (47)
Analysis and Geometry in Metric SpacesIn the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
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, 2007 . We present a multiple-patch phase space method for computing trajectories on two-dimensional manifolds possibly embedded in a higher-dimensional space. The dynamics of tra-jectories are given by systems of ordinary differential equations (ODEs).
Olof Runborg +3 more
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Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]
, 2008 15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Tourís, Eva +2 more
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Conjugate points in formation constrained optimal multi-agent coordination: A case study
, 2006 . In this paper, an optimal coordinated motion planning problem for multiple agents subject to constraints on the admissible formation patterns is formulated.
J. Hu +5 more
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On generalized measure contraction property and energy functionals over Lipschitz maps
, 1999 . We will summarize a part of the result of [10], the construction of Sobolev spaces and energy functionals over maps between metric spaces under the strong measure contraction property of Bishop-Gromov type, which is a generalized notion of Ricci ...
Kazuhiro Kuwae, Takashi Shioya
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On Smoothness of Sub-Riemannian Minimizers
, 1996 : This paper presents new conditions under which sub-Riemannian distance can be measured by means of a C 1 sub-Riemannian geodesic. Key Words: nonlinear systems, geodesics, calculus of variations, optimal control, sub-Riemannian geometry AMS subject ...
S. Nikitin
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Generalized Isoperimetric Problem
, 1997 In this paper the differential equations describing the minimal length curves satisfying the integral constraining relations of a general type are obtained.
S. Nikitin, Krener Nikitin
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Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]
Calc Var Partial Differ Equ, 2023 Magnabosco M, Rossi T.
europepmc +1 more source
Image Morphing in Deep Feature Spaces: Theory and Applications. [PDF]
J Math Imaging Vis, 2021 Effland A +4 more
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Minimal Geodesics and Nilpotent Fundamental Groups
, 1996 . Hedlund [18] constructed Riemannian metrics on n-tori, n 3 for which minimal geodesics are very rare. In this paper we construct similar examples for every nilpotent fundamental group.
Bernd Ammann
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