Results 11 to 20 of about 72,124 (260)
Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
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Classification of Holomorphic Functions as Pólya Vector Fields via Differential Geometry
Mathematics, 2021 We review Pólya vector fields associated to holomorphic functions as an important pedagogical tool for making the complex integral understandable to the students, briefly mentioning its use in other dimensions.
Lucian-Miti Ionescu +2 more
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Four lectures on Euler integrals
SciPost Physics Lecture Notes, 2023 These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes.
Saiei-Jaeyeong Matsubara-Heo, Sebastian Mizera, Simon Telen
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On the Affine Image of a Rational Surface of Revolution
Mathematics, 2020 We study the properties of the image of a rational surface of revolution under a nonsingular affine mapping. We prove that this image has a notable property, namely that all the affine normal lines, a concept that appears in the context of affine ...
Juan G. Alcázar
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On intrinsic normalizations of semi-non-holonomic hypercomplexes SNGr(1, n, 2n-3) in affine space
Lietuvos Matematikos Rinkinys, 1998 In this paper the differential geometry of semi-non-holonomic hypercomplexes in n-dimensional affine space is constructed in an invariant analytic form. The differential neighbourhoods of first two orders are studied.
Janina Staišienė
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Lie algebras of differentiations of linear algebras over a field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov +2 more
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AV-differential geometry and Newtonian mechanics [PDF]
, 2006 A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
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Reference shape of bodies with enhanced kinematics. Part II. Second gradient and microstructure
Вестник Самарского университета: Естественнонаучная серия, 2023 The work develops differential-geometric methods for modeling finite incompatible deformations of hyperelastic solids with enhanced kinematics. The response of such bodies, along with the standard kinematic field represented by the deformation gradient ...
Konstantin G. Koifman
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On a connection with a torsion non-tensor and a curvature non-tensor
Дифференциальная геометрия многообразий фигур, 2023 This paper relates to differential geometry, and the research technique is based on G. F. Laptev’s method of extensions and envelopments, which generalizes E. Cartan's method of moving frame and exterior forms.
K. V. Polyakova
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AFFINE GEOMETRY OF STRATA OF DIFFERENTIALS [PDF]
Journal of the Institute of Mathematics of Jussieu, 2017 Affine varieties among all algebraic varieties have simple structures. For example, an affine variety does not contain any complete algebraic curve. In this paper, we study affine-related properties of strata of $k$ -differentials on smooth curves which parameterize sections of the $k$
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