Listar MAT_Articles por autoría "53d99e61-d74f-41b9-9afd-f075aed4614d"
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Asymptotically Extrinsic Tamed Submanifolds
Bessa, G. Pacelli; Gimeno, Vicent; Palmer Andreu, Vicente Springer Verlag (2017-04)We study, from the extrinsic point of view, the structure at infinity of open submanifolds, ϕ : Mm → Mn(κ) isometrically immersed in the real space forms of constant sectional curvature κ ≤ 0.We shall use the decay of ... -
Green functions and the Dirichlet spectrum
Bessa, G. Pacelli; Gimeno, Vicent; Jorge, Luquesio European Mathematical Society (2020)This article has results of four types. We show that the firsteigenvalueλ1(Ω) of the weighted Laplacian of a bounded domain withsmooth boundary can be obtained by S. Sato’s iteration scheme of theGreen ... -
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
Bessa, G. Pacelli; Gimeno, Vicent; Polymerakis, Panagiotis Springer-Verlag GmbH Germany (2022-07)We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic version of Brooks’s essential spectrum ...