scientific article

zbMath0634.53041MaRDI QIDQ3772875

Yoshihiro Ohnita

Publication date: 1987

Full work available at URL: http://www.numdam.org/item?id=CM_1987__64_2_157_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

rank one symmetric spacestotally geodesic submanifoldsHelgason spheresstable rectifiable currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items

Volume minimizing submanifolds in compact symmetric spaces, The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications, Nonexistence of stable discrete maps into some homogeneous spaces of nonnegative curvature, Equifocal submanifolds in a symmetric space and the infinite dimensional geometry, The indices, the nullities and the stability of totally geodesic submanifolds in the complex quadratic hypersurfaces: 𝑄_{𝑚}=𝑆𝑂(𝑚+2)/𝑆𝑂(𝑚)×𝑆𝑂(2), Globally minimal homogeneous subspaces in compact homogeneous symplectic spaces, On the stability of Cartan embeddings of compact symmetric spaces, Lagrangian submanifolds in strict nearly Kähler 6-manifolds, Stability of certain minimal submanifolds in compact symmetric spaces of rank two, Jacobi equations on minimal homogeneous submanifolds in homogeneous Riemannian spaces, Tight Lagrangian homology spheres in compact homogeneous Kähler manifolds, Stability of closed Lie subgroups in compact Lie groups, Curvature estimate for the volume growth of globally minimal submanifolds, Regularity of minimizing harmonic maps into \(S^ 4\), \(S^ 5\) and symmetric spaces, Totally geodesic submanifolds in compact Riemannian symmetric spaces and their stability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of certain minimal submanifolds of compact Hermitian symmetric spaces
• Certain minimal or homologically volume minimizing submanifolds in compact symmetric spaces
• Stability of harmonic maps and standard minimal immersions
• Stable minimal submanifolds in compact rank one symmetric spaces
• Uniqueness of certain 3-dimensional homologically volume minimizing submanifolds in compact simple Lie groups
• On instability of Yang-Mills connections
• The existence of minimal immersions of 2-spheres
• Totally real parallel submanifolds in \(P^ n(\)c)
• The nullity of compact Kähler submanifolds in a complex projective space
• On stable currents and their application to global problems in real and complex geometry
• Totally geodesic spheres in compact symmetric spaces
• Minimal immersions of Riemannian manifolds
• Minimal varieties in Riemannian manifolds
• Normal and integral currents
• Classification of stable currents in the product of spheres
• On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces
• Flat Chains Over a Finite Coefficient Group