Spherical submanifolds in a Euclidean space

DOI10.1007/s00605-007-0453-9zbMath1129.53006OpenAlexW2061401422MaRDI QIDQ2466362

Sharief Deshmukh, Haila Alodan

Publication date: 14 January 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0453-9

zbMATH Keywords

mean curvature vectorfirst eigenvalue of Laplacian operatorspherical submanifoldsumbilical section

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Cites Work

• A characteristic property of spheres
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• A global formulation of the condition for a curve to lie in a sphere
• Some applications of integral formulas in Riemannian geometry and PDE's
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• An Application of Reilly's Formula
• Isometric immersion of a compact Riemannian manifold into a Euclidean space
• An integral formula for compact hypersurfaces in a Euclidean space and its applications
• New viewpoints in the geometry of submanifolds of 𝑅^{𝑁}
• Spherical Submanifolds of a Euclidean Space

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