Sharp upper bound for the first eigenvalue

Autor:	G. Santhanam, Raveendran Binoy
Rok vydání:	2013
Předmět:	Combinatorics Hypersurface Differential geometry Symmetric space Simply connected space Mathematics::Differential Geometry Geometry and Topology Algebraic geometry Riemannian manifold Upper and lower bounds Laplace operator Mathematics
Zdroj:	Geometriae Dedicata. 169:397-410
ISSN:	1572-9168 0046-5755
DOI:	10.1007/s10711-013-9863-0
Popis:	Let \(M\) be a closed hypersurface in a noncompact rank-1 symmetric space \((\overline{\mathbb{M }}, ds^2)\) with \(-4 \le K_{\overline{\mathbb{M }}} \le -1,\) or in a complete, simply connected Riemannian manifold \(\mathbb M \) such that \(0 \le K_\mathbb{M } \le \delta ^2\) or \(K_\mathbb{M } \le k\) where \(k = -\delta ^2\) or 0. In this paper we give sharp upperbounds for the first eigenvalue of laplacian of \(M\).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::06e49239a1112a25ac57f794ed0f192a https://doi.org/10.1007/s10711-013-9863-0 Zobrazit plný text záznamu Full text from SpringerLink