Upper bounds for the first Dirichlet eigenvalue of a tube around an algebraic complex curve of \(\mathbb C\mathbb{P}^{n}(\lambda)\)

DOI10.1007/S11856-011-0047-ZzbMath1230.58023OpenAlexW2070084390MaRDI QIDQ636028

M. Carmen Domingo-Juan, Ana Lluch, Vicente Miquel

Publication date: 25 August 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0047-z

zbMATH Keywords

complex projective spaceDirichlet eigenvaluetube around a complex curve

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32)

Related Items (1)

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

Cites Work

• Bounds for the first Dirichlet eigenvalue of domains in Kaehler manifolds
• Eigenvalue comparison theorems and its geometric applications
• Upper bound for the first eigenvalue of algebraic submanifolds
• Lower bounds for the mean curvature of hollow tubes around complex hypersurfaces and totally real submanifolds
• Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds
• Eigenvalue Comparison for Tubular Domains
• Volumes of Tubes About Complex Submanifolds of Complex Projective Space
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