GROWTH ESTIMATES FOR WARPING FUNCTIONS AND THEIR GEOMETRIC APPLICATIONS

DOI10.1017/S0017089509990012zbMath1188.53064OpenAlexW2051694595WikidataQ125743377 ScholiaQ125743377MaRDI QIDQ3183182

Bang-Yen Chen, Shihshu Walter Wei

Publication date: 19 October 2009

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089509990012

zbMATH Keywords

warped productminimal immersion

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds ⋮ Reflections on some research work of Bang-Yen Chen ⋮ Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications ⋮ CR-Warped Submanifolds in Kaehler Manifolds

Cites Work

• Some pinching and classification theorems for minimal submanifolds
• Subharmonic functions on real and complex manifolds
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS

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