Displaying similar documents to “Eigenvalues of the laplacian of compact Riemann surfaces and minimal submanifolds”

On the number of coincidences of morphisms between closed Riemann surfaces.

Yolanda Fuertes, Gabino González-Díez (1993)

Publicacions Matemàtiques

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We give a bound for the number of coincidence of two morphisms between given compact Riemann surfaces (complete complex algebraic curves). Our results generalize well known facts about the number of fixed points of an automorphism.

Two remarks on Riemann surfaces.

José M. Rodriguez (1994)

Publicacions Matemàtiques

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We study the relationship between linear isoperimetric inequalities and the existence of non-constant positive harmonic functions on Riemann surfaces. We also study the relationship between growth conditions of length of spheres and the existence and the existence of Green's function on Riemann surfaces.

Global models of Riemannian metrics.

Juan Fontanillas, Fernando Varela (1987)

Revista Matemática Iberoamericana

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In this paper we give certain Riemannian metrics on the manifolds Sn-1 x S1 and Sn (n ≥ 2), which have the property to determine these manifolds, up to diffeomorphisms. The global expressions used for Riemannian metrics are based on the global expression for exterior forms studied in [4]. In [3] one finds certain metrics using global expressions that differ from the type we propose. To some extent, Theorem...

Covering lemmas and BMO estimates for eigenfunctions on Riemannian surfaces.

Guozhen Lu (1991)

Revista Matemática Iberoamericana

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The principal aim of this note is to prove a covering Lemma in R. As an application of this covering lemma, we can prove the BMO estimates for eigenfunctions on two-dimensional Riemannian manifolds (M, g). We will get the upper bound estimate for || log |u| ||, where u is the solution to Δu + λu = 0, for λ > 1 and Δ is the Laplacian on (M, g). A covering lemma on homogeneous spaces is also obtained in this note.