On the growth of the relative volume of a tube with its radius

DOI10.1017/S0308210500021107zbMath0772.53032OpenAlexW2323016995MaRDI QIDQ4037699

Fernando Giménez

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1017/s0308210500021107

zbMATH Keywords

volume density functionsubmanifoldsFermi coordinatesvolumes of tubesBishop-Günther-Gromov type inequalitieshalf-tubes

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Volume estimates for real hypersurfaces of a Kaehler manifold with strictly positive holomorphic sectional and antiholomorphic Ricci curvatures
• Comparison theorems for the volume of a complex submanifold of a Kaehler manifold
• Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula

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