Results 11 to 20 of about 4,865,824 (373)
Geodesic complexity for non-geodesic spaces [PDF]
Boletín de la Sociedad Matemática Mexicana, 2021 One major ...
Donald M. Davis
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Geodesic completeness of generalized space-times [PDF]
, 2015 We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions.
Steinbauer, Roland, Sämann, Clemens
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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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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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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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Fundamental theorems of quasi-geodesic mappings of generalized-recurrent-parabolic spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In previous papers we studied mappings of pseudo-Riemannian spaces being mutually quasi-geodesic and almost geodesic of the 2nd type. As a result, we arrived at the quasi-geodesic mapping f: (Vn, gij, Fih) → (Vn, gij, Fih) of spaces with an affine ...
Irina Kurbatova +2 more
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On geodesic triangles with right angles in a dually flat space [PDF]
Signals and Communication Technology, 2019 The dualistic structure of statistical manifolds in information geometry yields eight types of geodesic triangles passing through three given points, the triangle vertices.
F. Nielsen
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GLSR-VAE: Geodesic latent space regularization for variational autoencoder architectures [PDF]
IEEE Symposium Series on Computational Intelligence, 2017 VAEs (Variational AutoEncoders) have proved to be powerful in the context of density modeling and have been used in a variety of contexts for creative purposes.
Gaëtan Hadjeres, F. Nielsen, F. Pachet
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Iterative Sequences for a Finite Number of Resolvent Operators on Complete Geodesic Spaces
Axioms, 2021 We consider Halpern’s and Mann’s types of iterative schemes to find a common minimizer of a finite number of proper lower semicontinuous convex functions defined on a complete geodesic space with curvature bounded above.
Kengo Kasahara, Yasunori Kimura
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Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry [PDF]
, 2018 We establish the essentially optimal form of Donaldson's geodesic stability conjecture regarding existence of constant scalar curvature K\"ahler metrics.
Tam'as Darvas, Chinh H. Lu
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