Results 1 to 10 of about 40,568 (40)
From Second-Order Differential Geometry to Stochastic Geometric Mechanics [PDF]
Journal of nonlinear science, 2022 Classical geometric mechanics, including the study of symmetries, Lagrangian and Hamiltonian mechanics, and the Hamilton–Jacobi theory, are founded on geometric structures such as jets, symplectic and contact ones.
Qiao Huang, J. Zambrini
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DG‐GL: Differential geometry‐based geometric learning of molecular datasets [PDF]
International Journal for Numerical Methods in Biomedical Engineering, 2018 Motivation: Despite its great success in various physical modeling, differential geometry (DG) has rarely been devised as a versatile tool for analyzing large, diverse, and complex molecular and biomolecular datasets because of the limited understanding ...
D. Nguyen, G. Wei
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Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map
International Electronic Journal of Geometry, 2023 The theory of finite type submanifolds was introduced by the first author in late 1970s and it has become a useful tool for investigation of submanifolds. Later, the first author and P.
Bang‐Yen Chen +3 more
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Centro-affine differential geometry and the log-Minkowski problem [PDF]
Journal of the European Mathematical Society (Print), 2021 We interpret the log-Brunn-Minkowski conjecture of B\"or\"oczky-Lutwak-Yang-Zhang as a spectral problem in centro-affine differential geometry. In particular, we show that the Hilbert-Brunn-Minkowski operator coincides with the centro-affine Laplacian ...
E. Milman
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Differential geometry for the optimal design of the contingent valuation method
Information Geometry, 2023 The contingent valuation method (CVM) is a widely used experimental method to measure the monetary value of goods. However, CVM estimates are sensitive to experiment design.
Hisatoshi Tanaka
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A quantum complexity lower bound from differential geometry [PDF]
Nature Physics, 2021 Quantum operations can be considered as points in a high-dimensional space in which distance reflects the similarity of two operations. Applying differential-geometric methods in this picture gives insights into the complexity of quantum systems ...
Adam R. Brown
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Iterated differential forms: Riemannian geometry revisited [PDF]
, 2006 A natural extension of Riemannian geometry to a much wider context is presented on the basis of the iterated differential form formalism developed in math.DG/0605113 and an application to general relativity is given.
A. Vinogradov, L. Vitagliano
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An Introduction to Infinite-Dimensional Differential Geometry [PDF]
, 2021 Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak ...
Alexander Schmeding
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On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric
International Electronic Journal of Geometry, 2022 In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
Habil Fattayev
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Differential geometry using quaternions [PDF]
International Electronic Journal of GeometryThis paper establishes the basis of the quaternionic differential geometry (HDG) initiated in a previous article. The usual concepts of curves and surfaces are generalized to quaternionic constraints, as well as the curvature and torsion concepts ...
Sergio Giardino
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