Symmetric-like Riemannian manifolds and geodesic symmetries

DOI10.1017/S0308210500028031zbMath0830.53036WikidataQ115335845 ScholiaQ115335845MaRDI QIDQ4839288

Jürgen Berndt, Friedbert Prüfer, Lieven Vanhecke

Publication date: 8 February 1996

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

zbMATH Keywords

geodesicsJacobi operatorsgeodesic symmetries

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Weakly symmetric spaces and bounded symmetric domains ⋮ Weakly symmetric groups of Heisenberg type ⋮ New examples of weakly symmetric spaces ⋮ D'Atri spaces of type \(k\) and related classes of geometries concerning Jacobi operators ⋮ A new class of weakly symmetric spaces ⋮ D'Atri and \(C\)-type Kenmotsu spaces ⋮ On weakly symmetric Finsler spaces ⋮ On inaudible curvature properties of closed Riemannian manifolds ⋮ Weakly symmetric spaces and spherical varieties

Cites Work

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• Two-point functions on Riemannian manifolds
• Symmetries and locally s-regular manifolds
• Symmetries and \(\phi\)-symmetric spaces
• Interaction of tubes and spheres
• Two natural generalizations of locally symmetric spaces
• A short topological proof for the symmetry of 2 point homogeneous spaces
• Contact manifolds in Riemannian geometry

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