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Conformal η-Ricci Solitons on Riemannian Submersions under Canonical Variation
This research article endeavors to discuss the attributes of Riemannian submersions under the canonical variation in terms of the conformal η-Ricci soliton and gradient conformal η-Ricci soliton with a potential vector field ζ.
Mohd. Danish Siddiqi +3 more
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Riemannian Submersions with Discrete Spectrum [PDF]
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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Quasi bi-slant submersions in contact geometry
The aim of the paper is to introduce the concept of quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds as a generalization of semi-slant and hemi-slant submersions.
Rajendra Prasad +3 more
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On Quasi Hemi-Slant Submersions
The paper deals with the notion of quasi hemi-slant submersions from Lorentzian para Sasakian manifolds onto Riemannian manifolds. These submersions are generalization of hemi-slant submersions and semi-slant submersions. In this paper, we also study the
Sushil Kumar, Pramod Kumar Rawat
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The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
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
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
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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Rigidity theorems for submetries in positive curvature [PDF]
a
Chen, X., Grove, K.
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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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