Results 1 to 10 of about 339,702 (103)
Iterated Differential Forms II: Riemannian Geometry Revisited [PDF]
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.Comment: 12 pages, extended version of
A. M. Vinogradov+6 more
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Centro-affine differential geometry and the log-Minkowski problem [PDF]
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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A quantum complexity lower bound from differential geometry [PDF]
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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DG‐GL: Differential geometry‐based geometric learning of molecular datasets [PDF]
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
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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An Introduction to Infinite-Dimensional Differential Geometry [PDF]
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
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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The Research of Thomas P. Branson [PDF]
The Midwest Geometry Conference 2007 was devoted to the substantial mathematical legacy of Thomas P. Branson who passed away unexpectedly the previous year. This contribution to the Proceedings briefly introduces this legacy. We also take the opportunity
Eastwood, Michael G., Gover, A. Rod
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Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey [PDF]
After a brief summary of the main properties of Poisson manifolds and Lie algebroids in general, we survey recent work on the modular classes of Poisson and twisted Poisson manifolds, of Lie algebroids with a Poisson or twisted Poisson structure, and of ...
Kosmann-Schwarzbach, Yvette
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Differential geometry using quaternions [PDF]
This 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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