Results 211 to 220 of about 430,280 (280)

Connection between non-metric differential geometry and mathematical theory of imperfections

open access: closedInternational Journal of Engineering Science, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuriy Povstenko
openaire   +3 more sources

A Survey of the Differential Geometry of Discrete Curves [PDF]

open access: yes, 2013
D iscretization of curves is an ancient topic. Even discretization of curves with an eye toward differential geometry is more than a century old. However, there is no general theory or methodology in the literature, despite the ubiquitous use of discrete
Daniel Carroll   +3 more
semanticscholar   +3 more sources

Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids

Mathematics and mechanics of solids, 2021
Finsler differential geometry enables enriched mathematical and physical descriptions of the mechanics of materials with microstructure. The first propositions for Finsler geometry in solid mechanics emerged some six decades ago. Ideas set forth in these
J. Clayton
semanticscholar   +1 more source

Information geometry

Japanese journal of mathematics, 2021
Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely determines a second-order symmetric tensor g and third-order symmetric tensor T in a manifold of probability ...
S. Amari
semanticscholar   +1 more source

Differential Geometry and Mathematical Physics [PDF]

open access: possible, 2016
The chapter will illustrate how concepts in differential geometry arise\ud naturally in different areas of mathematical physics. We will describe\ud manifolds, fibre bundles, (co)tangent bundles, metrics and symplectic\ud structures, and their applications to Lagrangian mechanics, field theory\ud and Hamiltonian systems, including various examples ...
Hone, Andrew N.W., Krusch, Steffen
openaire   +1 more source

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