A general inequality for warped product $CR$-submanifolds of Kähler manifolds

DOI10.15672/HUJMS.1018497OpenAlexW3206934738MaRDI QIDQ5886694

Cenap Ozel, Abdulqader Mustafa, Alexander Pigazzini, Patrick Linker

Publication date: 6 April 2023

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06701

zbMATH Keywords

scalar curvaturemean curvature vectorKähler manifoldsminimal submanifoldsGauss equationwarped product \(CR\)-submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (1)

First Chen Inequality for General Warped Product Submanifolds of a Riemannian Space Form and Applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized inequalities on warped product submanifolds in nearly trans-Sasakian manifolds
• Oblique warped products
• CR submanifolds of Kaehlerian and Sasakian manifolds
• Another general inequality for CR-warped products in complex space forms
• On quasi-Einstein sequential warped product manifolds
• On some geometric properties of CR-submanifolds of a Sasakian manifold
• Bi-warped product submanifolds of nearly Kaehler manifolds
• Contact CR-warped product submanifolds in Sasakian space forms
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Almost contact manifolds with Killing structure tensors
• On warped product immersions
• $\delta$-Invariants, Inequalities of Submanifolds and Their Applications
• ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
• On PNDP-manifold
• On contact CR-submanifolds of a cosymplectic manifold
• A survey on geometry of warped product submanifolds
• Manifolds of Negative Curvature
• CONTACT CR-WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS
• Sequential warped products: Curvature and conformal vector fields
• Geometry of warped product CR-submanifolds in Kaehler manifolds
• Geometry of warped product CR-submanifolds in Kaehler manifolds. II

This page was built for publication: A general inequality for warped product $CR$-submanifolds of Kähler manifolds