Interaction of tubes and spheres

DOI10.1007/BF01457081zbMath0491.53034OpenAlexW2003739997MaRDI QIDQ1167431

S. Singh

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/163729

zbMATH Keywords

volumecurvelocally symmetric spacestubespaces of constant curvatureJacobi vector fieldsgeodesic symmetry with respect to geodesicsvolume-preserving geodesic symmetries

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20)

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Cites Work

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• Geodesic spheres and symmetries in naturally reductive spaces
• Jacobi fields, totally geodesic foliations and geodesic differential forms
• Geodesic symmetries in spaces with special curvature tensors
• Divergence-preserving geodesic symmetries
• The Volumes of Tubes about Curves in a Riemannian Manifold
• Total Scalar Curvature of Tubes about Curves