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In this paper, we study Clairaut generic Riemannian map from a nearly Kahler manifold to a Riemannian manifold. Further, we obtain a condition for a Clairaut generic Riemannian map to be a totally geodesic foliation on the total manifold.…

Differential Geometry · Mathematics 2026-04-07 Nidhi Yadav , Kirti Gupta , Punam Gupta

In this paper, first we define Clairaut Riemannian map between Riemannian manifolds by using a geodesic curve on the base space and find necessary and sufficient conditions for a Riemannian map to be Clairaut with a non-trivial example. We…

Differential Geometry · Mathematics 2023-09-19 Kiran Meena , Akhilesh Yadav

The aim of this paper is to study Clairaut semi-slant(hemi-slant) Riemannian maps to K\"ahler manifolds.

Differential Geometry · Mathematics 2025-12-09 Jyoti Yadav , Gauree Shanker

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

In this paper, we investigate the geometry of Clairaut anti-invariant Riemannnian maps whose base space are Sasakian manifolds. We obtain the necessary and sufficient conditions for a curve on a base manifold to be geodesic. We obtain…

Differential Geometry · Mathematics 2024-09-02 Md Nadim Zafar , Adeeba Zaidi , Gauree Shanker

In this article, we introduce Clairaut anti-invariant Riemannian maps from Riemannian manifolds to trans-Sasakian manifolds. We derive necessary and sufficient condition for an anti-invariant map to be Clairaut when base manifold is…

Differential Geometry · Mathematics 2023-06-14 Adeeba Zaidi , Gauree Shanker

In this paper, we introduce Clairaut warped product Riemannian maps. To study these kind of maps, first, we find the condition of geodesic of a regular curve. Then we obtain the conditions for a warped product Riemannian map to be Clairaut…

Differential Geometry · Mathematics 2024-08-27 J. Yadav , G. Shanker

As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples, obtain the existence conditions…

Differential Geometry · Mathematics 2012-06-19 Bayram Sahin

In this paper, first, we recall the notion of Clairaut Riemannian map (CRM) ${F}$ using a geodesic curve on the base manifold and give the Ricci equation. We also show that if base manifold of CRM is space form then leaves of…

Differential Geometry · Mathematics 2025-11-14 Murat Polat , Kiran Meena

In this article, we study Conformal pointwise-slant Riemannian maps (\textit{CPSRM}) from or to K\"{a}hler manifolds to or from Riemannian manifolds. To check the existence of such maps, we provide some non-trivial examples. We derive some…

Differential Geometry · Mathematics 2023-08-31 A. Zaidi , G. Shanker , J. Yadav

In this paper, we begin by introducing Clairaut Riemannian warped product maps and establish the condition under which a regular curve becomes a geodesic. We obtain the conditions for a Riemannian warped product map to be Clairaut…

Differential Geometry · Mathematics 2025-05-06 Jyoti Yadav , Harmandeep Kaur , Gauree Shanker

The aim of this paper is to introduce Clairaut conformal submersions between Riemannian manifolds. First, we find necessary and sufficient conditions for conformal submersions to be Clairaut conformal submersions. In particular, we obtain…

Differential Geometry · Mathematics 2024-05-09 Kiran Meena , Tomasz Zawadzki

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

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

In this paper, we introduce and study the concept of \textit{Clairaut Riemannian warped product submersions} between Riemannian warped product manifolds. By generalizing the notion of Clairaut Riemannian submersions to the setting of…

Differential Geometry · Mathematics 2025-11-13 Arkadeepta Roy , Kiran Meena , Hemangi Madhusudan Shah

The aim of this article is to explore the Clairaut anti-invariant Riemannian maps from/to K\"ahler manifolds admitting Ricci solitons. We find the curvature relations and calculate the Ricci tensor under different conditions. We discuss the…

Differential Geometry · Mathematics 2024-06-25 Jyoti Yadav , Gauree Shanker

In this paper, we introduce metallic maps between metallic Riemannian manifolds, provide an example and obtain certain conditions for such maps to be totally geodesic. We also give a sufficient condition for a map between metallic…

Differential Geometry · Mathematics 2020-03-10 Mehmet Akif Akyol

The main purpose of this article is to study conditions for a curve on a submanifold $M\subset\mathbb{R}^n$, constructed in a particular way involving the Euclidean distance to $M$, to be a geodesic. We also present the naturally arising…

Differential Geometry · Mathematics 2024-09-05 Vadym Koval

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

The purpose of this paper is to study pointwise pseudo-slant warped product submanifolds of a K\"{a}hler manifold $\widetilde{M}$. We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the…

Differential Geometry · Mathematics 2017-01-19 S. K. Srivastava , A. Sharma
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