Results 21 to 30 of about 72,124 (260)
Mathematics, 2022 The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui +2 more
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On quantization of singular varieties and applications to D-branes [PDF]
, 2002 We calculate the ring of differential operators on some singular affine varieties (intersecting stacks, a point on a singular curve or an orbifold). Our results support the proposed connection of the ring of differential operators with geometry of D ...
A.A. Gerasimov +8 more
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Affine connections and second-order affine structures
, 2020 Smooth manifolds have been always understood intuitively as spaces with an affine geometry on the infinitesimal scale. In Synthetic Differential Geometry this can be made precise by showing that a smooth manifold carries a natural structure of an ...
Bár, Filip
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Supersymmetric near-horizon geometry and Einstein-Cartan-Weyl spaces
Physics Letters B, 2019 We show that the horizon geometry for supersymmetric black hole solutions of minimal five-dimensional gauged supergravity is that of a particular Einstein-Cartan-Weyl (ECW) structure in three dimensions, involving the trace and traceless part of both ...
Dietmar Silke Klemm, Lucrezia Ravera
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Robust adaptive composite control of DC–DC boost converter with constant power load in DC microgrid
Energy Reports, 2023 Power electronic loads are penetrating in DC microgrid. These loads are usually regarded as constant power loads (CPLs) with negative impedance characteristics, which seriously affect the dynamic performance of DC bus voltage and may result in ...
Jiarong Wu +3 more
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On the trace-manifold generated by the deformations of a body-manifold [PDF]
Theoretical and Applied Mechanics, 2003 In this paper, concerned to the study of continuous deformations of material media using some tools of modem differential geometry, a moving frame of Frenet type along the orbits of an one-parameter group acting on a so-called "trace-manifold", M ...
Boja Nicolae
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Geometry of Control-Affine Systems [PDF]
, 2009 Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X - i.e., an affine distribution F together with a distinguished vector field contained in F.
Clelland, Jeanne N. +2 more
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Geometrical modeling and numerical analysis of screw dislocation
Nihon Kikai Gakkai ronbunshu, 2021 This study conducts the modeling and numerical analysis of a screw dislocation in a three-dimensional continuous medium. Our modeling is based on the differential geometry of Weitzenböck manifold, i.e., a Riemann-Cartan manifold which equips itself with ...
Shunsuke KOBAYASHI, Ryuichi TARUMI
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Cayley surfaces in affine differential geometry
Tohoku Mathematical Journal, 1989 A Cayley surface in affine space \({\mathbb{R}}^ 3\) is, by definition, the graph of a cubic polynomial, say, \(z=xy-y^ 3/3\quad or\quad z=xy-x^ 3/3.\) The purpose of the present paper is to characterize a Cayley surface as a nondegenerate surface in \({\mathbb{R}}^ 3\) whose cubic form in nonzero and parallel relative to the induced connection of the ...
Nomizu, Katsumi, Pinkall, Ulrich
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An Elementary Introduction to Information Geometry
Entropy, 2020 In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences.
Frank Nielsen
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