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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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Differential Geometry and Mathematical Physics
John K. Beem, K. L. Duggal
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Graduate Studies in Mathematics, 2019
These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the
jr H. Blaine Lawson, M. Michelsohn
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These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the
jr H. Blaine Lawson, M. Michelsohn
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Aspects of Complex Analysis, Differential Geometry, Mathematical Physics and Applications
Kouei Sekigawa, Stancho Dimiev
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A course in the modern mathematical physics: groups, Hilbert space and differential geometry
Peter Szekeres
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A Survey of the Differential Geometry of Discrete Curves
, 2013D 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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