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Talks by Marcos Petrúcio Cavalcante

Lower bounds for the stability index of constant mean curvature surfaces

Universidade Federal de Alagoas - Institut Fourier

We prove that the stability index of a compact constant mean curvature (CMC) surface in the Euclidean space or in the unit sphere is bounded from below by a linear function of its genus. We also will discuss some results in the case of free-boundary CMC surfaces in a mean convex body. These results are part of joint works with Darlan de Oliveira.

Seminario 1, primera planta

Estimates for the first eigenvalue of minimal hypersurfaces in HmxR and Applications

Universidade Federal de Alagoas - Institut Fourier

In the first part of this talk we will show some lower estimates for the first eigenvalue of a minimal hypersurface immersed in H^mxR. As an application we prove that if a complete minimal surface in H^2xR has finite total extrinsic curvature, then such surface has finite Jacobi index. In the second part we will apply the method of Colding-Minicozzi to provide some upper estimates for the first eigenvalue of a complete Riemannian surfaces. We then apply this estimates for minimal surface in H3 and H^2xR. These results are part of a joint work with P. Bérard and Ph. Castillon.

Seminario de Matemáticas. 2ª Planta, sección de Matemáticas.

Marcos Petrúcio Cavalcante

Universidade Federal de Alagoas - Institut Fourier

Number of talks
2
Number of visits
2
Last visit
Personal website
Profile in Mathscinet
[Mathscinet]
Profile in Zentralblatt
[zentralblatt]
Country of origin
Italia

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