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Spectre Du Laplacien De Hodge–De Rham: Estimées Sur Les Variétés Convexes
Author(s) -
Guerini Pierre
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930300256x
Subject(s) - mathematics , convex domain , laplace operator , pure mathematics , eigenvalues and eigenvectors , mathematics subject classification , euclidean geometry , regular polygon , mathematical analysis , geometry , physics , quantum mechanics
This article presents universal lower bounds for the first non‐zero eigenvalue of the Laplacian of differential forms on Euclidean domains, domains of the hemisphere and convex Euclidean hypersurfaces. 2000 Mathematics Subject Classification 58J50 (primary); 58J32 (secondary).