Pointwise slant Riemannian maps from almost contact metric manifolds with horizontal reeb vector field ˆξ

This paper introduces the notion of pointwise slant Riemannian maps, which extend the concept of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps. These maps are defined from almost contact metric manifolds to Riemannian manifolds with horizontal Reeb vektor field . Furthermore, we present examples and investigate the fundamental properties of such maps. Also we explore the geometry of the foliations induced by pointwise slant Riemannian maps and establish decomposition theorems related to their existence.

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Publication Details

Journal
TURKISH JOURNAL OF MATHEMATICS
Published
2025-05-14
DOI
https://doi.org/10.55730/1300-0098.3593
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

Pointwise slant Riemannian maps from almost contact metric manifolds with horizontal reeb vector field ˆξ

Cumali Yıldırım, Ramazan Demir
TURKISH JOURNAL OF MATHEMATICS
Geometric Analysis and Curvature Flows
article

Pointwise slant Riemannian maps from almost contact metric manifolds with horizontal reeb vector field ˆξ

Cumali Yıldırım, Ramazan Demir
article en

Abstract

This paper introduces the notion of pointwise slant Riemannian maps, which extend the concept of slant submanifolds, pointwise slant submanifolds, slant submersions, pointwise slant submersions, and slant Riemannian maps. These maps are defined from almost contact metric manifolds to Riemannian manifolds with horizontal Reeb vektor field . Furthermore, we present examples and investigate the fundamental properties of such maps. Also we explore the geometry of the foliations induced by pointwise slant Riemannian maps and establish decomposition theorems related to their existence.

TURKISH JOURNAL OF MATHEMATICSVol. 49(3)
Openalex Percentile: Top 85%
Geometric Analysis and Curvature Flows
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