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Related papers: On bi-slant submersions in complex geometry

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In this paper we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.

General Mathematics · Mathematics 2019-01-10 P. Alegre , A. Carriazo

In this paper, we study Riemannian, anti-invariant Riemannian and Lagrangian submersions. We prove that the horizontal distribution of a Lagrangian submersion from a Kaehlerian manifold is integrable. We also give some applications of this…

Differential Geometry · Mathematics 2015-01-12 Hakan Mete Taştan

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

Differential Geometry · Mathematics 2015-04-23 Mehmet Akif Akyol , Bayram Sahin

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

As a generalization of anti-invariant Riemannian submersions, we introduce anti-invariant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples and investigate the geometry of foliations which are arisen…

Differential Geometry · Mathematics 2012-10-02 Bayram Sahin

Akyol, M. A and \c{S}ahin, B. [Conformal semi-invariant submersions, Commun. Contemp. Math. 19, 1650011 (2017).] introduced the notion of conformal semi-invariant submersions from almost Hermitian manifolds. The present paper deal with the…

Differential Geometry · Mathematics 2018-05-23 Mehmet Akif Akyol

We study curvature invariants of a sub-Riemannian manifold (i.e., a manifold with a Riemannian metric on a non-holonomic distribution) related to mutual curvature of several pairwise orthogonal subspaces of the distribution, and prove…

Differential Geometry · Mathematics 2022-12-27 Vladimir Rovenski

Akyol M.A. [Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistic, 46(2), (2017), 177-192.] defined and studied conformal anti-invariant submersions from cosymplectic manifolds. The…

Differential Geometry · Mathematics 2020-03-10 Yılmaz Gündüzalp , Mehmet Akif Akyol

We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic manifolds. We investigate necessary and…

Differential Geometry · Mathematics 2013-09-11 C. Murathan , I. Küpeli Erken

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

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.

Differential Geometry · Mathematics 2011-06-01 Stere Ianus , Adrian Mihai Ionescu , Raluca Mocanu , Gabriel Eduard Vilcu

In this paper, we introduce bi-slant Riemannian maps from Riemannian manifolds to Kenmotsu manifolds, which are the natural generalizations of invariant, anti-invariant, semi-invariant, slant, semi-slant and hemi-slant Riemannian maps, with…

Differential Geometry · Mathematics 2024-09-04 Adeeba Zaidi , Gauree Shanker

In this paper, we introduce the notion of warped product quasi bi-slant submanifolds in Kaehler manifolds. We have shown that every warped product quasi bi-slant submanifold in a Kaehler manifold is either a Riemannian product or a warped…

Differential Geometry · Mathematics 2023-09-15 Mehraj Ahmad Lone , Prince Majeed

The main purpose of the present paper is to define and study the notion of quasi bi-slant submanifolds of almost contact metric manifolds. We mainly concerned with quasi bi-slant submanifolds of cosymplectic manifolds as a generalization of…

General Mathematics · Mathematics 2020-03-10 Mehmet Akif Akyol , Selahattin Beyendi

We study some properties of pointwise $k$-slant submanifolds of almost Hermitian manifolds with a special view towards K\"{a}hler manifolds. In particular, we characterize the integrability of the component distributions, treating also the…

Differential Geometry · Mathematics 2025-08-04 Adara M. Blaga , Dan Radu Latcu

Almost para-Hermitian manifold it is manifold equipped with almost para-complex structure and compatible pseudo-metric of neutral signature. It is considered a class of immersions of almost para-Hermitian manifolds into almost…

Differential Geometry · Mathematics 2017-10-27 Piotr Dacko

We introduce anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on Sasakian manifolds. We investigate necessary and sufficient…

Differential Geometry · Mathematics 2013-02-21 I. Küpeli Erken , C. Murathan

The aim of our paper is to focus on some properties of hemi-slant submanifolds in metallic (and Golden) Riemannian manifolds. We give some characterizations for submanifolds to be hemi-slant submanifolds in metallic (or Golden) Riemannian…

Differential Geometry · Mathematics 2025-08-04 Cristina E. Hretcanu , Adara M. Blaga

In this paper, we develop and introduce a Casorati inequality for Riemannian submersions involving the Casorati curvatures of both the vertical and horizontal distributions. A general form of the inequality is derived for Riemannian…

Differential Geometry · Mathematics 2026-02-18 Ravindra Singh

We study anti-holomorphic semi-invariant submersions from K\"{a}hlerian manifolds onto Riemannian manifolds. We prove that all distributions which are involved in the definition of the submersion are integrable. We also prove that the…

Differential Geometry · Mathematics 2014-04-10 Hakan Mete Taştan