Lower bounds for the mean curvature of hollow tubes around complex hypersurfaces and totally real submanifolds
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Publication:1909539
zbMath0843.53044MaRDI QIDQ1909539
Vicente Miquel, Vicente Palmer
Publication date: 25 August 1996
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
mean curvaturecomparison theoremsRiccati equationfirst Dirichlet eigenvaluemean exit timetubular hypersurfacerelative volume
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (3)
Comparison theorems for the volume of a geodesic ball with a product of space forms as a model ⋮ Upper bounds for the first Dirichlet eigenvalue of a tube around an algebraic complex curve of \(\mathbb C\mathbb{P}^{n}(\lambda)\) ⋮ Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of \(\mathbb CP^n(\lambda)\) in terms of the degrees of the polynomials defining it
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