Minimal surfaces in a Riemannian manifold of constant curvature

DOI10.2996/kmj/1138846772zbMath0259.53042OpenAlexW1984445522WikidataQ115224418 ScholiaQ115224418MaRDI QIDQ5674658

Takehiro Itoh

Publication date: 1973

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

Full work available at URL: https://doi.org/10.2996/kmj/1138846772

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

On minimal surfaces immersed in three dimensional Kropina Minkowski space ⋮ Differential geometry of submanifolds ⋮ Spectral geometry of closed minimal submanifolds in a space form, real or complex ⋮ A Characterization of the Generalized Veronese Surfaces ⋮ Upper bounds for the index of minimal surfaces

Cites Work

• On singularities of submanifolds of higher dimensional Euclidean spaces
• Minimal submanifolds with m-index 2 and generalized Veronese surfaces
• Minimal submanifolds with M-index 2
• A theory of Riemannian submanifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• Minimal surfaces with $M$-index $2$, $T_{1}$-index $2$ and $T_{2}$-index $2$
• Minimal surfaces in $4$-dimensional Riemannian manifolds of constant curvature

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