Isoperimetric upper bounds for the first eigenvalue

Autor:	G Santhanam
Rok vydání:	2012
Předmět:	Pure mathematics Hypersurface General Mathematics Mathematical analysis Simply connected space Mathematics::Differential Geometry Center of mass Mathematics::Spectral Theory Isoperimetric inequality Laplace operator Eigenvalues and eigenvectors Mathematics
Zdroj:	Proceedings - Mathematical Sciences. 122:375-384
ISSN:	0973-7685 0253-4142
DOI:	10.1007/s12044-012-0077-4
Popis:	Let M be a closed hypersurface in a simply connected space form \({{\mathbb M}(\kappa)}\) where κ = 0, 1 or − 1. In this paper, we give two isoperimetric upper bounds for the first eigenvalue of the Laplacian of M.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cf772f75c80e8c6cd0193dc0ab0c03d6 https://doi.org/10.1007/s12044-012-0077-4 Zobrazit plný text záznamu Full text from SpringerLink