Results 1 to 10 of about 604 (135)
On the geometry of the tangent bundle with gradient Sasaki metric [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by gf and called gradient Sasaki metric on the tangent bundle TM. The authors calculate its Levi-Civita
Lakehal Belarbi, Hichem Elhendi
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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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Discrete Riemannian geometry [PDF]
Journal of Mathematical Physics, 1999 Within a framework of noncommutative geometry, we develop an analog of (pseudo-) Riemannian geometry on finite and discrete sets. On a finite set, there is a counterpart of the continuum metric tensor with a simple geometric interpretation. The latter is based on a correspondence between first order differential calculi and digraphs (the vertices of ...
Dimakis, Aristophanes +1 more
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Generic Riemannian Maps from Nearly Kaehler Manifolds
Computer Sciences & Mathematics Forum, 2023 In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold.
Richa Agarwal, Shahid Ali
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Mathematics, 2021 In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration ...
Josef Mikeš +3 more
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On h-Quasi-Hemi-Slant Riemannian Maps
Axioms, 2022 In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal +4 more
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Background field method for nonlinear sigma models in nonrelativistic string theory
Journal of High Energy Physics, 2020 We continue the study of nonrelativistic string theory in background fields. Nonrelativistic string theory is described by a nonlinear sigma model that maps a relativistic worldsheet to a non-Lorentzian and non-Riemannian target space geometry, which is ...
Ziqi Yan, Matthew Yu
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Applied Sciences, 2023 Electroencephalography (EEG) signals have diverse applications in brain-computer interfaces (BCIs), neurological condition diagnoses, and emotion recognition across healthcare, education, and entertainment domains.
Zubaidah Al-Mashhadani +4 more
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A Generalized Bochner Technique and Its Application to the Study of Conformal Mappings
Axioms, 2021 This article is devoted to geometrical aspects of conformal mappings of complete Riemannian and Kählerian manifolds and uses the Bochner technique, one of the oldest and most important techniques in modern differential geometry. A feature of this article
Vladimir Rovenski +2 more
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On some conformally einstein manifolds of dimension four [PDF]
ریاضی و جامعه, 2022 We study an important family of four-dimensional pseudo-Riemannian manifolds, i.e. generalized symmetric spaces, in terms of conformal geometry. Generalized symmetric spaces were introduced by geometers as an extension of symmetric spaces, and a detailed
Amirhesam Zaeim +2 more
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