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Contact-Complex Riemannian Submersions [PDF]
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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η-Ricci–Yamabe Solitons along Riemannian Submersions [PDF]
Axioms, 2023 In this paper, we investigate the geometrical axioms of Riemannian submersions in the context of the η-Ricci–Yamabe soliton (η-RY soliton) with a potential field.
Mohd Danish Siddiqi +3 more
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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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Pointwise hemi-slant Riemannian submersions
Ukrains’kyi Matematychnyi Zhurnal, 2023 UDC 517.98 We introduce a new type of submersions, which is called <em>pointwise hemi-slant Riemannian submersions,</em> as a generalization of slant Riemannian submersions, hemi-slant submersions, and pointwise slant submersions from Kaehler manifolds onto Riemannian manifolds.
Mehmet Akif Akyol, Cem Sayar
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Triharmonic 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 manifold is transformed to a biharmonic curve on the base manifold.
Gizem Köprülü Karakaş, Bayram Şahin
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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.
Bessa, G. Pacelli +2 more
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Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds [PDF]
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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Riemannian submersions from almost contact metric manifolds [PDF]
, 2011 In this paper we obtain the structure equation of a contact-complex Riemannian submersion and give some applications of this equation in the study of almost cosymplectic manifolds with Kaehler fibres.Comment: Abh. Math. Semin. Univ.
A. Bonome +38 more
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Anti-invariant Riemannian Submersions [PDF]
, 2015 We give a general Lie-theoretic construction for anti-invariant almost Hermitian Riemannian submersions, anti-invariant quaternion Riemannian submersions, anti-invariant para-Hermitian Riemannian submersions, anti-invariant para-quaternion Riemannian submersions, and anti-invariant octonian Riemannian submersions.
Peter Gilkey +2 more
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Certain curves along Riemannian submersions
Filomat, 2023 In this paper, when a given curve on the total manifold of a Riemannian submersion is transferred to the base manifold, the character of the corresponding curve is examined. First, the case of a Frenet curve on the total manifold being a Frenet curve on the base manifold along a Riemannian submersion is investigated.
Gözde Özkan Tükel +2 more
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