On the existence of minimal hyperspheres in compact symmetric spaces

DOI10.24033/asens.1559zbMath0652.53040OpenAlexW2595693162MaRDI QIDQ3797838

Wu-teh Hsiang, Per Tomter, Wu-yi Hsiang

Publication date: 1988

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1988_4_21_2_287_0

zbMATH Keywords

symmetric spacesequivariant geometryminimal hyperspheres

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

Minimal sphere bundles in Euclidean spheres ⋮ Minimal hyperspheres in rank two compact symmetric spaces ⋮ Closed geodesics on incomplete surfaces ⋮ Levi-umbilical real hypersurfaces in Hermitian symmetric spaces ⋮ New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications ⋮ Centrioles in symmetric spaces

Cites Work

• Minimal cones and the spherical Bernstein problem. I
• Non-rotational minimal spheres and minimizing cones
• The spherical Bernstein problem in even dimensions and related problems
• On the existence of codimension-one minimal spheres in compact symmetric spaces of rank 2. II
• Minimal cones and the spherical Bernstein problem. III
• Minimal varieties in Riemannian manifolds
• Minimal submanifolds of low cohomogeneity
• On minimal immersions of $S^{n-1}$ into $S^n(1),\;n \geq 4$
• On the construction of infinitely many, mutually noncongruent, examples of minimal imbeddings of 𝑆²ⁿ⁻¹ into 𝐶𝑃ⁿ,𝑛⩾2
• Unnamed Item

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