Results 41 to 50 of about 88,622 (197)
A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
doaj +1 more source
, 2017 We define Wick-rotations by considering pseudo-Riemannian manifolds as real slices of a holomorphic Riemannian manifold. From a frame bundle viewpoint Wick-rotations between different pseudo-Riemannian spaces can then be studied through their structure ...
Helleland, Christer, Hervik, Sigbjorn
core +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric; pp. 149–157 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex ...
Aydin Gezer
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Epilepsia, EarlyView.Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
wiley +1 more source
Meta-Metallic Riemannian Manifolds
SSRN Electronic Journal, 2023 In this study, motivated by the Meta-Golden-Chi ratio, we develop essentially Meta-Metallic manifolds by using Meta-Metallic-Chi ratio and Metallic manifolds, provide an example and explore certain features of its Meta-Metallic structure. We give the conditions for integrability of the almost Meta-Metallic structure and examine its relation
Yüksel Perktaş, Selcen +2 more
openaire +3 more sources
Applications of Disaffinity Vectors to Certain Riemannian Manifolds
MathematicsA disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali +2 more
doaj +1 more source
A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
doaj
The Riemannian manifold of all Riemannian metrics
, 1991 The space of all Riemannian metrics on a smooth second countable finite dimensional manifold is itself a smooth manifold modeled on the space of symmetric (0,2)-tensor fields with compact support.
Gil-Medrano, Olga, Michor, Peter W.
core +4 more sources
On Geometric Phase Model in the Theory of Curves With Myller Configuration
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we introduce a linearly polarized light wave in an optical fiber and rotation of the polarization plane through the Frenet‐type frame with Myller configuration. Since the geometric evaluation and interpretations of a polarized light wave are associated with geometric phase, a new type of geometric phase model has been ...
Zehra İşbilir +2 more
wiley +1 more source