Results 1 to 10 of about 116,829 (327)
Geodesic complexity for non-geodesic spaces [PDF]
Boletín de la Sociedad Matemática Mexicana, 2021 One major ...
Donald M. Davis
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Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES [PDF]
Forum of Mathematics, Sigma, 2014 We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS +2 more
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Riemannian M-spaces with homogeneous geodesics [PDF]
Annals of Global Analysis and Geometry, 2018 We investigate homogeneous geodesics in a class of homogeneous spaces called $M$-spaces, which are defined as follows. Let $G/K$ be a generalized flag manifold with $K=C(S)=S\times K_1$, where $S$ is a torus in a compact simple Lie group $G$ and $K_1$ is the semisimple part of $K$.
Andreas Arvanitoyeorgos +2 more
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An investigation of strong edge geodesic number on m-polar fuzzy environment and its application. [PDF]
PLoS ONEFor crisp graphs, the notion of edge geodesic numbers has been known for a long time. But lately, the focus has shifted to investigating this idea in fuzzy graphs, which has resulted in studies of a number of properties.
Tanmoy Mahapatra +2 more
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Explicit geodesics in Gromov-Hausdorff space
Electronic Research Announcements, 2018 We provide an alternative, constructive proof that the collection $\mathcal{M}$ of isometry classes of compact metric spaces endowed with the Gromov-Hausdorff distance is a geodesic space. The core of our proof is a construction of explicit geodesics on $\mathcal{M}$. We also provide several interesting examples of geodesics on $\mathcal{M}$, including
Samir Chowdhury, Facundo Mémoli
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Resolvents for Convex Functions on Geodesic Spaces and Their Nonspreadingness [PDF]
AxiomsThe convex optimization problems have been considered by many researchers on geodesic spaces. In these problems, the resolvent operators play an important role.
Takuto Kajimura +2 more
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Constraints on General Relativity Geodesics by a Covariant Geometric Uncertainty Principle
Physics, 2021 The classical uncertainty principle inequalities are imposed over the general relativity geodesic equation as a mathematical constraint. In this way, the uncertainty principle is reformulated in terms of proper space–time length element, Planck length ...
David Escors, Grazyna Kochan
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Regular and Chaotic Dynamics, 2022 The space $J^k$ of $k$-jets of a real function of one real variable $x$ admits the structure of Carnot group type. As such, $J^k$ admits a submetry (\sR submersion) onto the Euclidean plane. Horizontal lifts of Euclidean lines (which are the left-translates of horizontal one-parameter subgroups) are thus globally minimizing geodesics on $J^k$. All $J^k$
Bravo-Doddoli, Alejandro +1 more
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Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4
International Journal of Analysis and Applications, 2023 In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and ...
Sahar H. Nazra
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