A new formula for the shape operator of a geodesic sphere and its applications

DOI10.1007/BF01162708zbMath0596.53017OpenAlexW2002028083MaRDI QIDQ1078815

Oldřich Kowalski, Lieven Vanhecke

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173761

zbMATH Keywords

shape operatorsisometrygeodesic spheres

Mathematics Subject Classification ID

Local submanifolds (53B25) Local Riemannian geometry (53B20)

Related Items

The diffractive wave trace on manifolds with conic singularities ⋮ Riemannian Metrics with the Prescribed Curvature Tensor and all Its Covariant Derivatives at One Point ⋮ \(k\)-parameter geodesic variations ⋮ Isoparametric functions on exotic spheres ⋮ On the volume of the intersection of two geodesic balls ⋮ Comparison theorems for the volume of a complex submanifold of a Kaehler manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The canonical geodesic involution and harmonic spaces
• G-deformations of curves and volumes of tubes in Riemannian manifolds
• Two-point functions on Riemannian manifolds
• Riemannian geometry as determined by the volumes of small geodesic balls
• A theorem of E. Hopf
• G-Deformations and Some Generalizations of H. Weyl's Tube Theorem
• 1-Harmonic Spaces are Harmonic
• The Volumes of Tubes about Curves in a Riemannian Manifold
• Differential geometry of geodesic spheres.