Results 1 to 10 of about 322,586 (112)
Projective Metric Geometry and Clifford Algebras [PDF]
Results in Mathematics, 2021 Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains a distinguished group, known as the Lipschitz group.
H. Havlicek
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Hessian metric via transport information geometry [PDF]
Journal of Mathematics and Physics, 2020 We propose to study the Hessian metric of given functional in the space of probability space embedded with $L^2$--Wasserstein (optimal transport) metric.
Wuchen Li
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Design of 3D Metric Geometry Study and Research Activities within a BIM Framework
Mathematics, 2022 This paper presents research work in which an innovative didactic proposal was designed for the study of 3D metric geometry in the second year of A-level courses (secondary education) in the specialty of the sciences.
José M. Olmos-Noguera +2 more
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Spectral metric and Einstein functionals [PDF]
Advances in Mathematics, 2022 We define bilinear functionals of vector fields and differential forms, the densities of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. We generalise these concepts in non-commutative geometry and, in particular, we
Ludwik Dkabrowski, A. Sitarz, P. Zalecki
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AIMS Mathematics, 2023 We introduce an $ \mathcal{M-} $class function in an $ \mathcal{S-} $metric space which is a viable, productive, and powerful technique for finding the existence of a fixed point and fixed circle.
M. Joshi, A. Tomar, T. Abdeljawad
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Stress and Geometry for Isotropic Singularities. [PDF]
Physical Review Letters, 2023 We develop the mathematics needed to treat the interaction of geometry and stress at any isotropic spacetime singularity. This enables us to handle the Einstein equations at the initial singularity and characterize allowed general relativistic stress ...
A. Gover +2 more
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Geometry, analysis, and morphogenesis: Problems and prospects [PDF]
Bulletin of the American Mathematical Society, 2021 The remarkable range of biological forms in and around us, such as the undulating shape of a leaf or flower in the garden, the coils in our gut, or the folds in our brain, raise a number of questions at the interface of biology, physics, and mathematics.
M. Lewicka, L. Mahadevan
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Chains in CR geometry as geodesics of a Kropina metric [PDF]
Advances in Mathematics, 2018 With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure.
Jih-Hsin Cheng +3 more
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Moufang Patterns and Geometry of Information [PDF]
Pure and Applied Mathematics Quarterly, 2021 Technology of data collection and information transmission is based on various mathematical models of encoding. The words"Geometry of information"refer to such models, whereas the words"Moufang patterns"refer to various sophisticated symmetries appearing
N. Combe, Y. Manin, M. Marcolli
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COARSE AND FINE GEOMETRY OF THE THURSTON METRIC [PDF]
Forum of Mathematics, Sigma, 2016 We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface $S$. Some of our results on the coarse geometry of this metric apply to arbitrary surfaces $S$ of finite type; however, we focus particular ...
D. Dumas +3 more
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