Hofman, David Lower bounds on the first eigenvalue of the Laplacian of Riemannian submanifolds. (English) Zbl 0433.58019 Minimal submanifolds and geodesics, Proc. Jap.-U.S. Semin., Tokyo 1977, 61-72 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds 35K05 Heat equation 35P15 Estimates of eigenvalues in context of PDEs 49Q05 Minimal surfaces and optimization 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature Keywords:lowest non-zero eigenvalue of the scalar Laplacian; curvature; diameter; volume; injectivity radius; isoperimetric constants; minimal submanifolds of the spaces of constant sectional curvature; isometrically immersed submanifold. Citations:Zbl 0423.00012 PDFBibTeX XML