B.-Y. Chen's inequality for bi-warped products and its applications in Kenmotsu manifolds

DOI10.1007/s00009-018-1238-1zbMath1407.53019OpenAlexW2892114564MaRDI QIDQ1756935

Amani Saloom, Siraj Uddin, Falleh Rijaullah Al-Solamy, Mohammed Hasan Shahid

Publication date: 28 December 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1238-1

zbMATH Keywords

invariantslant submanifoldswarped productsKenmotsu manifoldsanti-invariantmultiply warped productsbi-warped products

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 (16)

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms II ⋮ Biwarped product submanifolds in some structures of metallic Riemannian manifold ⋮ Bi-warped product submanifolds of Kenmotsu manifolds and their applications ⋮ Chen's \(\delta\)-invariants type inequalities for bi-slant submanifolds in generalized Sasakian space forms ⋮ Bi-warped products and applications in locally product Riemannian manifolds ⋮ Certain Classes of Warped Product Submanifolds of Sasakian Manifolds ⋮ Bi-warped product submanifolds of nearly Kaehler manifolds ⋮ Chen inequalities for warped product pointwise bi-slant submanifolds of complex space forms and its applications ⋮ Classification of Casorati ideal Legendrian submanifolds in Sasakian space forms ⋮ Chen's first inequality for hemi-slant warped products in nearly trans-Sasakian manifolds ⋮ Characterization theorems on warped product semi-slant submanifolds in Kenmotsu manifolds ⋮ Another inequality for skew CR-warped products in Kenmotsu manifolds ⋮ Geometry of warped product pointwise submanifolds of Sasakian manifolds ⋮ Warped product submanifolds of Kenmotsu manifolds with slant fiber ⋮ Geometry of bi-warped product submanifolds in Sasakian and cosymplectic manifolds

Cites Work

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• Contact manifolds in Riemannian geometry
• Contact CR-warped product submanifolds in Sasakian manifolds
• Multiply warped products
• Another class of warped product submanifolds of Kenmotsu manifolds
• Isometric immersions of warped products
• Warped product bi-slant immersions in Kaehler manifolds
• Warped product submanifolds in Kenmotsu space forms
• Geometry of warped product semi-slant submanifolds of nearly Kaehler manifolds
• A class of almost contact Riemannian manifolds
• Curvature of multiply warped products
• Warped product pseudo-slant immersions in Sasakian manifolds
• Slant immersions
• Warped product pointwise bi-slant submanifolds of Kaehler manifolds
• SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS
• Differential Geometry of Warped Product Manifolds and Submanifolds
• A survey on geometry of warped product submanifolds
• Manifolds of Negative Curvature
• CONTACT CR-WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS
• Geometry of warped product CR-submanifolds in Kaehler manifolds
• Geometry of warped product CR-submanifolds in Kaehler manifolds. II

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