Conformal mappings and first eigenvalue of Laplacian on surfaces

zbMATH Open0425.58019arXiv1307.5927MaRDI QIDQ3860538

Bang-Yen Chen

Publication date: 1979

Abstract: In this note we give a simple relation between conformal mapping and the first eigenvalue of Laplacian for surfaces in Euclidean spaces.

Full work available at URL: https://arxiv.org/abs/1307.5927

zbMATH Keywords

conformal mappingsconformal Clifford torusconformal inequalityconformal Veronese surfacefirst eigenvalue of Laplacian on surface

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Ergodic theorems, spectral theory, Markov operators (37A30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (2)

Reflections on some research work of Bang-Yen Chen ⋮ A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I

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