Results 1 to 10 of about 40,029 (59)
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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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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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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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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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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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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Differential geometry of rectifying submanifolds [PDF]
, 2016 A space curve in a Euclidean 3-space $\mathbb E^3$ is called a rectifying curve if its position vector field always lies in its rectifying plane. This notion of rectifying curves was introduced by the author in [Amer. Math.
Bang‐Yen Chen
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