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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

We introduce slant 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 check the harmonicity of…

Differential Geometry · Mathematics 2010-06-02 Bayram Sahin

In this paper, the concept of Riemannian warped product submersion is generalized to the conformal case. We introduce the notion of conformal warped product submersion. It is a submersion between warped product manifolds that preserves…

Differential Geometry · Mathematics 2023-08-08 Harmandeep Kaur , Abhishek Pandey , Gauree Shanker

Locally conformal almost quasi-Sasakian manifolds set up a wide class of almost contact metric manifolds containing several interesting subclasses. Contact-complex Riemannian submersions whose total space belongs to each of the considered…

Differential Geometry · Mathematics 2023-11-30 Maria Falcitelli , Cem Sayar

Let F be a Riemannian submersion from an almost Hermitian manifold (M; gM; J) onto a Riemannian manifold (N; gN). We introduce the notion of the v-semi-slant submersion. And then we obtain some properties on it. In particular, we give some…

Differential Geometry · Mathematics 2012-06-08 Kwang-Soon Park

B. Sahin [9] introduced the notion of anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. In the present paper we extend the notion of anti-invariant and Lagrangian Riemannian submersions (a…

Differential Geometry · Mathematics 2019-07-04 Majid Ali Choudhary

In this paper we continue the study of bi-conformal vector fields started in {\em Class. Quantum Grav.} {\bf 21} 2153-2177. These are vector fields defined on a pseudo-Riemannian manifold by the differential conditions $\lie P_{ab}=\phi…

Differential Geometry · Mathematics 2016-08-16 Alfonso García-Parrado Gómez-Lobo

Let F be a Riemannian submersion from an almost Hermitian manifold (M; gM; J) onto a Riemannian manifold (N; gN). We introduce the notion of the semi-slant submersion. And then we obtain some properties about it. In particular, we give some…

Differential Geometry · Mathematics 2012-06-08 Kwang-Soon Park , Rajendra Prasad

In this article, conformal submersion with horizontal distribution of Riemannian manifolds is defined which is a generalization of the affine submersion with horizontal distribution. Then, a necessary condition is obtained for the existence…

Differential Geometry · Mathematics 2021-11-25 Mahesh T , K S Subrahamanian Moosath

In the present paper, we introduce bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian submersions. We…

General Mathematics · Mathematics 2020-03-10 Cem Sayar , Mehmet Akif Akyol , Rajendra Prasad

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

We classify semi-Riemannian submersions with connected totally geodesic fibres from a real pseudo-hyperbolic space onto a semi-Riemannian manifold under the assumption that the dimension of the fibres is less than or equal to three and the…

Differential Geometry · Mathematics 2010-01-25 Gabriel Baditoiu

Almost Riemann solitons are introduced and studied on an almost contact complex Riemannian manifold, i.e. an almost contact B-metric manifold, obtained from a cosymplectic manifold of the considered type by a contact conformal…

Differential Geometry · Mathematics 2023-09-06 Mancho Manev

This article presents the study of almost Hermitian submersion from an almost Yamabe soliton onto an almost Hermitian manifold. A non-trivial example is also mentioned in order to guarantee the existence of such solitons on the total space…

Differential Geometry · Mathematics 2021-10-05 Tanveer Fatima , Mehmet Akif Akyol , Rakesh Kumar

In this article we introduce conformal Riemannian morphisms. The idea of conformal Riemannian morphism generalizes the notions of an isometric immersion, a Riemannian submersion, an isometry, a Riemannian map and a conformal Riemannian map.…

Differential Geometry · Mathematics 2023-05-12 RB Yadav , Srikanth KV

We introduce slant Riemannian maps from Riemannian manifolds to almost Hermitian manifolds as a generalization of slant immersions, invariant Riemannian maps and anti-invariant Riemannian maps. We give examples, obtain characterizations and…

Differential Geometry · Mathematics 2012-06-18 Bayram Sahin

As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto…

Differential Geometry · Mathematics 2015-07-17 Kwang-Soon Park

In this paper, we study two notions of rigidity, one of conformal submersions and the other of quasi Einstein manifolds, with an attempt to relate the two notions. Note that a smooth submersion between Riemannian manifolds is called…

Differential Geometry · Mathematics 2026-04-24 Atreyee Bhattacharya , Sayoojya Prakash

In this paper, we study conformal submersions from Ricci solitons to Riemannian manifolds with non-trivial examples. First, we study some properties of the O'Neill tensor $A$ in the case of conformal submersion. We also find a necessary and…

Differential Geometry · Mathematics 2023-11-07 Kiran Meena , Akhilesh Yadav

In this paper, we study Riemannian submersions whose total manifolds admitting a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricci soliton. Indeed, we obtain necessary conditions for which…

Differential Geometry · Mathematics 2020-06-30 Şemsi Eken Meriç , Erol Kılıç