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We classify the semi-Riemannian submersions from a pseudo-hyperbolic space onto a Riemannian manifold under the assumption that the fibres are connected and totally geodesic. Also we obtain the classification of the semi-Riemannian…

Differential Geometry · Mathematics 2007-05-23 Gabriel Baditoiu , Stere Ianus

We classify pseudo-Riemannian submersions with connected totally geodesic fibres from a real pseudo-hyperbolic space onto a pseudo-Riemannian manifold. Also, we obtain the classification of the pseudo-Riemannian submersions with…

Differential Geometry · Mathematics 2013-09-09 Gabriel Baditoiu

We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and find…

Differential Geometry · Mathematics 2010-11-03 Bayram Sahin

We get obstructions to existence of semi-Riemannian submersions with totally umbilic fibres.

Differential Geometry · Mathematics 2010-09-17 Gabriel Baditoiu , Stere Ianus

We get obstructions to existence of semi-Riemannian submersions with totally umbilic fibres.

Differential Geometry · Mathematics 2007-05-23 Gabriel Baditoiu , Stere Ianus

As a generalization of Riemannian submersions, horizontally conformal submersions, semi-invariant submersions, h-semi-invariant submersions, almost h-semi-invariant submersions, conformal semi-invariant submersions, we introduce h-conformal…

Differential Geometry · Mathematics 2017-08-28 Kwang-Soon Park

As a generalization of semi-invariant submersions, we introduce conformal semi-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from…

Differential Geometry · Mathematics 2015-05-28 Mehmet Akif Akyol , Bayram Şahin

We explore h-conformal semi-invariant submersions and almost h-conformal semi-invariant submersions originating from quaternionic K\"ahler manifolds to Riemannian manifolds. Our investigation focuses on the geometric characteristics of…

Differential Geometry · Mathematics 2025-06-19 Punam Gupta , Kirti Gupta

The question whether a Riemannian manifold is geodesically connected can be studied from geometrical as well as variational methods, and accurate results can be obtained by using the associated distance and related properties of the…

Differential Geometry · Mathematics 2023-04-21 Miguel Sanchez

In this paper we deal with some properties of a class of semi-Riemannian submersions between manifolds endowed with paraquaternionic structures, proving a result of non-existence of paraquaternionic submersions between paraquaternionic…

Differential Geometry · Mathematics 2011-12-06 Angelo V. Caldarella

We show that under certain conditions, a nontrivial Riemannian submersion from positively curved four manifolds does not exist. This gives a partial answer to a conjecture due to Fred Wilhelm. We also prove a rigidity theorem for Riemannian…

Differential Geometry · Mathematics 2014-09-16 Xiaoyang Chen

The present paper deals with the characterization of a new submersion named semi-invariant conformal $\zeta ^{\perp }$-Riemannian submersion from almost contact metric manifolds onto Riemannian manifolds which is the generalization of some…

Differential Geometry · Mathematics 2022-06-22 Uday Chand De , Shashikant Pandey , Punam Gupta

We study conformal bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalized of conformal anti-invariant, conformal semi-invariant, conformal semi-slant, conformal slant and conformal hemi-slant…

General Mathematics · Mathematics 2020-10-01 Sezin Aykurt Sepet

We study generic Riemannian submersions from nearly Kaehler manifolds onto Riemannian manifolds. We investigate conditions for the integrability of various distributions arising for generic Riemannian submersions and also obtain conditions…

Differential Geometry · Mathematics 2020-08-19 Rupali Kaushal , Rashmi Sachdeva , Rakesh Kumar , R. K. Nagaich

Using variations of Riemannian metric that preserve a given Riemannian submersion, keep its fibers totally geodesic and the metric restricted to the fibers fixed, but change the horizontal distribution, we examine changes of sectional…

Differential Geometry · Mathematics 2026-04-08 Tomasz Zawadzki

The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant…

Differential Geometry · Mathematics 2020-03-10 Mehmet Akif Akyol , Ramazan Sarı

We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds.

Differential Geometry · Mathematics 2018-09-19 Giovanni Calvaruso , Reinier Storm , Joeri Van der Veken

A totally umbilical submanifold in pseudo-Riemannian manifolds is a fundamental notion, which is characterized by the condition that the second fundamental form is proportional to the metric. It is also a generalization of the notion of a…

Differential Geometry · Mathematics 2021-09-07 Yuichiro Sato

This paper presents an investigation of the relation between some positivity of the curvature and the finiteness of fundamental groups in semi-Riemannian geometry. We consider semi-Riemannian submersions $\pi : (E, g) \rightarrow (B,…

Differential Geometry · Mathematics 2021-04-27 Jun-ichi Mukuno

As a generalization of slant submersions (Sahin, 2011), semi-slant submersions (Park and Prasad), and slant Riemannian maps (Sahin), we define the notion of semi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds.…

Differential Geometry · Mathematics 2012-09-06 Kwang-Soon Park
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