Published January 1, 2025 | Version v1
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Pointwise bi-slant Riemannian maps<i> (PBSRM</i>) from almost Hermitian manifolds

  • 1. Usak Univ, Fac Engn & Nat Sci, Dept Math, TR-64000 Usak, Turkiye
  • 2. Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkiye

Description

In 2022, the notion of pointwise slant Riemannian maps were introduced by Y. Gu < spacing diaeresis > ndu < spacing diaeresis > zalp and M. A. Akyol (Journal of Geometry and Physics, 179, 104589, 2022) as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds. As a generalization of pointwise slant Riemannian maps and many subclasses notions, we introduce pointwise bi-slant Riemannian maps (briefly, PBSRM) from almost Hermitian manifolds to Riemannian manifolds, giving a non-trivial (proper) example and investigate some properties of the map, we deal with their properties: the J-pluriharmonicity, the J-invariant, and the totally geodesicness of the map. Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for PBSRM, respectively.

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