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Connection between non-metric differential geometry and mathematical theory of imperfections
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Yuriy Povstenko
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A Survey of the Differential Geometry of Discrete Curves [PDF]
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
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DIFFERENTIAL GEOMETRY: MANIFOLDS, CURVES AND SURFACES (Graduate Texts in Mathematics 115)
Bulletin of the London Mathematical Society, 1990N. Hitchin
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Differential Geometry: The Interface between Pure and Applied Mathematics
1987Clyde Martin+2 more
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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
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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
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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
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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
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Differential Geometry and Mathematical Physics [PDF]
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
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