Results 331 to 340 of about 4,865,824 (373)
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Journal of Geometry and Physics, 1993
The space of smooth embedded loops \(E(S^ 1,M) \subset C^ \infty(S^ 1,M)\) in a Riemannian manifold \((M,g)\) carries a (weak) Riemannian metric \[ G(\gamma)(s_ 1,s_ 2) = \int_{S^ 1} g(s_ 1(t),s_ 2(t))\text{vol}(\gamma^* g)(t), \] where \(s_ i \in T_ \gamma C^ \infty(S^ 1,M)\) `is' the space of all vector fields along \(\gamma\), which is invariant ...
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The space of smooth embedded loops \(E(S^ 1,M) \subset C^ \infty(S^ 1,M)\) in a Riemannian manifold \((M,g)\) carries a (weak) Riemannian metric \[ G(\gamma)(s_ 1,s_ 2) = \int_{S^ 1} g(s_ 1(t),s_ 2(t))\text{vol}(\gamma^* g)(t), \] where \(s_ i \in T_ \gamma C^ \infty(S^ 1,M)\) `is' the space of all vector fields along \(\gamma\), which is invariant ...
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Geodesic graphs in Randers g.o. spaces
Commentationes Mathematicae Universitatis Carolinae, 2020Geodetic graphs were recently studied for Riemannian manifolds. The author generalizes the concept of geodetic graphs to Finsler geometry, in particular to homogeneous Randers g.o. manifolds. On modified H-type groups which admit a Riemannian g.o. metric, invariant Randers g.o. metrics are determined. Geodesic graphs in these Finsler g.o. manifolds are
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Geodesic spaces tangent to metric spaces
Ukrainian Mathematical Journal, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Monge Problem in Geodesic Spaces
2011We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish non branching geodesic space. We show that we can reduce the transport problem to 1-dimensional transport problems along geodesics. We introduce an assumption on the transport problem π which implies that the conditional probabilities of the first marginal on ...
S. Bianchini, F. Cavalletti
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On Geodesics in Euclidean Shape Spaces
Journal of the London Mathematical Society, 1991The geometry of the shape spaces \(\Sigma_ m^ k\) has been developed in [\textit{D. G. Kendall}, Bull. Lond. Math. Soc. 16, 81-121 (1984; Zbl 0579.62100); \textit{T.K. Carne}, Proc. Lond. Math. Soc., III. Ser. 61, No. 2, 407-432 (1990; Zbl 0723.60014)] and in a recent joint paper of the author and D. Kendall.
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Geodesic PCA versus Log-PCA of Histograms in the Wasserstein Space
SIAM Journal on Scientific Computing, 2018Elsa Cazelles +4 more
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Geodesic Flows on Symmetric Riemann Spaces
The Annals of Mathematics, 1957Let G be a connected non-compact semi-simple Lie group whose center is finite and K a maximal compact subgroup of G. We denote by G/K the homogeneous space of cosets gK, g e G. Then G/K is a real analytic manifold with the natural analytic structure of a homogeneous space.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
exaly
The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Proceedings of IEEE International Conference on Computer Vision, 1995
V. Caselles, R. Kimmel, G. Sapiro
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V. Caselles, R. Kimmel, G. Sapiro
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