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Anti-invariant Pseudo-Riemannian Submersions and Clairaut Submersions from Paracosymplectic Manifolds

Mediterranean Journal of Mathematics, 2019
In this paper, we investigate geometric properties of anti-invariant pseudo-Riemannian submersions whose total space is a paracosymplectic manifold. Then, we study new conditions for anti-invariant pseudo-Riemannian submersions to be Clairaut submersions.
Yilmaz Gündüzalp
exaly   +2 more sources

Inequalities on Riemannian Warped Product Submersions for Vertical Casorati Curvatures

Mediterranean Journal of Mathematics, 2023
The first and second authors introduced Riemannian warped product submersions and discussed interesting fundamental geometric properties of such submersions in Kupeli Erken and Murathan,.
Cengizhan Murathan, Irem Küpeli Erken
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A Metric Characterization of Riemannian Submersions

Annals of Global Analysis and Geometry, 2000
According to the first author [Sib. Math. J. 28, No. 4, 552-562 (1987; Zbl 0643.53053); translation from Sib. Mat. Zh. 28, No. 4(164), 44-56 (1987)], a map between metric spaces is a submetry if it sends closed balls around a point to closed balls of the same radius, around the image point.
Berestovskij, V. N., Guijarro, Luis
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Integrable Riemannian Submersion with Singularities

Geometriae Dedicata, 2004
It is proven that regular level sets of an analytic transnormal map on a real analytic complete Riemannian manifold are equifocal submanifolds and leaves of a singular Riemannian foliation with sections. Equifocal submanifolds are generalizations of isoparametric submanifolds and isoparametric hypersurfaces.
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Redundant Robotic Chains on Riemannian Submersions

IEEE Transactions on Robotics and Automation, 2004
The paper introduces the notion of Riemannian submersion for the modeling and control of certain types of redundant robotic chains. In the robotics literature, the redundant case is normally treated only in numerical terms, as the need to resort to pseudoinversion techniques is usually considered a barrier to the use of analytic or geometric methods ...
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Riemannian Submersions from Quaternionic Manifolds

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MAZZOCCO, Renzo, IANUS S, VILCU G. E.
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Bounded Riemannian submersions

Indiana University Mathematics Journal, 2000
The paper studies some global metric properties of a Riemannian submersion on a compact manifold for which the fundamental tensors are bounded in norm. A motivation is given by a result of \textit{G. Perelman} [J. Differ. Geom. 40, 209-212 (1994; Zbl 0818.53056)], who proved that the metric projection of an open manifold of nonnegative sectional ...
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Riemannian Submersions and Riemannian Manifolds with Einstein--Weyl Structures

Geometriae Dedicata, 1997
The author proves two theorems. Theorem 1. Let \(\pi :M\to N\) be a non-trivial Riemannian submersion with totally geodesic fibers of dimension 1 over an Einstein manifold \(N\). If \(M\) is compact and admits a standard Einstein-Weyl structure with constant Einstein-Weyl function, then \(N\) admits a Kähler structure and \(M\) a Sasakian structure ...
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On Semi-Riemannian Submersions

1999
A generalization of semi-Riemannian submersions allowing degenerate submanifolds as fibres is given by making an application of semi-Riemannian maps to submersions. Also a fundamental equation of a regular semi-Riemannian submersion is obtained.
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η-Ricci–Yamabe Solitons along Riemannian Submersions

Axioms, 2023
Mohd Danish Siddiqi, Fatemah Mofarreh, Mehmet Akif Akyol   +2 more
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