Results 21 to 30 of about 47,101 (158)
The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Mathematics, 2019 In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski +2 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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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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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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JP Journal of Geometry and Topology, 2019 Summary: Let \(M\) and \(N\) be compact oriented Riemannian manifolds. Let \(\varphi:(M,g)\to(N,h)\) be a horizontal conformal submersion with dilation \(\lambda\) and let \(\tau\) be the tension field of \(\Phi\). The aim of this paper is to prove the theorem stated in the Introduction.
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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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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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Recent Developments on the First Chen Inequality in Differential Geometry
Mathematics, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications.
Bang-Yen Chen, Gabriel-Eduard Vîlcu
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Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
Journal of Function Spaces and Applications, 2013 We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
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