Jacobi fields and geodesic spheres

DOI10.1017/S0308210500011215zbMath0408.53011MaRDI QIDQ4195549

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Publication date: 1979

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Constant Holomorphic Sectional CurvatureJacobi FieldsGeodesic Spheres

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local differential geometry of Hermitian and Kählerian structures (53B35) Local Riemannian geometry (53B20)

Related Items (8)

Special isoparametric orbits in Riemannian symmetric spaces ⋮ The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces ⋮ Geodesic spheres and Jacobi vector fields on Sasakian space forms ⋮ Centrally harmonic spaces ⋮ A characterization of the symmetric space SU(n)/SO(n) by geodesic spheres ⋮ Characterization of manifolds of constant curvature by spherical curves ⋮ Some Families of Isoparametric Hypersurfaces and Rigidity in a Complex Hyperbolic Space ⋮ Comparison theorems for the volume of a complex submanifold of a Kaehler manifold

Cites Work

• The index theorem in Riemannian geometry
• Weak holonomy groups
• Hypersurfaces of a space of constant curvature
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds

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