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Differential Geometry of Systems(Mathematical Theory of Control and Systems)
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Connection between non-metric differential geometry and mathematical theory of imperfections
Abstract Time-dependent geometric objects of three-dimensional space of non-metric connection and two-dimensional surface embedded in such space are interpreted in terms of the continuum theory of moving imperfections (dislocations, disclinations and extra-matter).
Yuriy Povstenko
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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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