Results 11 to 20 of about 161 (154)
Biharmonic curves along Riemannian submersions
Miskolc Mathematical Notes, 2023 The purpose of this paper is to study biharmonic curves along Riemannian submersions. We first consider a Riemannian submersion from a Riemannian manifold onto Riemannian manifold and investigate under what conditions a biharmonic curve on the total ...
Gizem Köprülü Karakaş, Bayram Şahin
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Biharmonic Riemannian submersions [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2018 In this paper, we study biharmonic Riemannian submersions. We first derive bitension field of a general Riemannian submersion, we then use it to obtain biharmonic equations for Riemannian submersions with $1$-dimensional fibers and Riemannian submersions with basic mean curvature vector fields of fibers.
Akyol, Mehmet Akif, Ou, Ye-Lin
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Riemannian submersions for q-entropies [PDF]
International Journal of Geometric Methods in Modern Physics, 2021 In an attempt to find the dynamical foundations for [Formula: see text]-entropies, we examine the special case of Lagrangian/Hamiltonian systems of many degrees of freedom whose statistical behavior is conjecturally described by the [Formula: see text]-entropic functionals. We follow the spirit of the canonical ensemble approach.
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Riemannian Submersions with Discrete Spectrum [PDF]
Journal of Geometric Analysis, 2010 We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers. When the fibers of the submersions are compact and minimal, we prove that the total space is discrete if and only if the base is discrete.
Bessa, G. Pacelli +2 more
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Optimal Inequalities for Hemi-Slant Riemannian Submersions
Mathematics, 2022 In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol +3 more
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Isotropic Riemannian submersions
TURKISH JOURNAL OF MATHEMATICS, 2020 Summary: In this paper, we present the notion of isotropic submersions between Riemannian manifolds. We first give examples to illustrate this new notion. Then we express a characterization in terms of O'Neill's tensor field T and examine certain relations between sectional curvatures of the total manifold and the base manifold. We also study \(\lambda\
Feyza Esra ERDOĞAN, Bayram ŞAHİN
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Slant Riemannian submersions from Sasakian manifolds
Arab Journal of Mathematical Sciences, 2016 We introduce and characterize slant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of slant Riemannian submersions defined on Sasakian manifolds.
I. Küpeli Erken, C. Murathan
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On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
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Simulation method of dam break flood propagation based on improved SPH model
Shui kexue jinzhan, 2023 The accuracy of dam break flood propagation simulations is pivotal for the effectiveness of reservoir flood predictions. This study introduces a numerical simulation method, specifically tailored for dam break flood propagation analysis, using the smooth
Tongchun LI +5 more
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Paracontact semi-Riemannian submersions
Turkish Journal of Mathematics, 2013 In this paper, we first define the concept of paracontact semi-Riemannian submersions between almost paracontact metric manifolds, then we provide an example and show that the vertical and horizontal distributions of such submersions are invariant with respect to the almost paracontact structure of the total manifold.
Gunduzalp, Yilmaz, Sahin, Bayram
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