Non-immersion theorems for warped products in complex hyperbolic spaces

DOI10.3792/pjaa.78.96zbMath1018.53024OpenAlexW1992657285MaRDI QIDQ1848142

Bang-Yen Chen

Publication date: 31 October 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1148392683

zbMATH Keywords

inequalityminimal immersionwarped productscomplex hyperbolic spacesnon-immersion theorems

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (8)

A general optimal inequality for warped products in complex projective spaces and its applications. ⋮ Remarks on Chen's inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature ⋮ Chen-Tripathi Inequality for Warped Product Submanifolds of S-space Forms ⋮ A Riemannian invariant and its applications to Einstein manifolds ⋮ CR-Warped Submanifolds in Kaehler Manifolds ⋮ CR-Submanifolds in Complex and Sasakian Space Forms ⋮ Chen inequalities for submanifolds of complex space forms and Sasakian space forms with quarter-symmetric connections ⋮ C-totally real warped product submanifolds

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• Minimal immersions of Riemannian products into real space forms
• On Totally Real Submanifolds
• ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS
• Geometry of warped product CR-submanifolds in Kaehler manifolds

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