Zobrazeno 1 - 10 of 16 pro vyhledávání: '"Manfredo do Carmo"'
1
Akademický článek
Cones in the Euclidean space with vanishing scalar curvature
Autor: João Lucas M. Barbosa, Manfredo do Carmo
Publikováno v: Anais da Academia Brasileira de Ciências, Vol 76, Iss 4, Pp 631-638 (2004)
Given a hypersurface M on a unit sphere of the Euclidean space, we define the cone based on M as the set of half-lines issuing from the origin and passing through M. By assuming that the scalar curvature of the cone vanishes, we obtain conditions und
Externí odkaz: https://doaj.org/article/22544d7cc8fb4ea1a9d0354650095c3d
Zobrazit plný text záznamu
3
On stable complete hypersurfaces with vanishing r-mean curvature
Autor: Manfredo, Do Carmo, Maria Fernanda, Elbert
Publikováno v: 東北數學雜誌. Second series = Tohoku mathematical journal. Second series. 56(2):155-162
A form of Bernstein theorem states that a complete stable minimal surface in euclidean space is a plane. A generalization of this statement is that there exists no complete stable hypersurface of an $n$-euclidean space with vanishing $(n-1)$-mean cur
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::5f5a53812f60b85ba334a13e57d3c4fc
http://hdl.handle.net/10097/00105914
Zobrazit plný text záznamu
5
Eigenvalue estimate on complete noncompact Riemannian manifolds and applications
Autor: Manfredo do Carmo, Detang Zhou
Publikováno v: Transactions of the American Mathematical Society. 351:1391-1401
We obtain some sharp estimates on the first eigenvalues of complete noncompact Riemannian manifolds under assumptions of volume growth. Using these estimates we study hypersurfaces with constant mean curvature and give some estimates on the mean curv
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b089c82726793ceddfe44535a22a3cc0
https://doi.org/10.1090/s0002-9947-99-02061-9
Zobrazit plný text záznamu
7
Stability of hypersurfaces with vanishing r-mean curvature in euclidean space
Autor: Manfredo do Carmo, Hilário Alencar, Maria Fernanda Elbert
Publikováno v: Manfredo P. do Carmo – Selected Papers ISBN: 9783642255878
Hypersurfaces of euclidean spaces with vanishing r-mean curvature generalize minimal hypersurfaces (case r = I) and include the important case of scalar curvature (r = 2). They are critical points of variational problems and a notion of stability can
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::86d16b48593b448eb8f9d4353dae362a
https://doi.org/10.1007/978-3-642-25588-5_31
Zobrazit plný text záznamu
8
Hypersurfaces with constant mean curvature in spheres
Autor: Hilário Alencar, Manfredo do Carmo
Publikováno v: Proceedings of the American Mathematical Society. 120:1223-1229
Let M n {M^n} be a compact hypersurface of a sphere with constant mean curvature H H . We introduce a tensor ϕ \phi , related to H H and to the second fundamental form, and show that if | ϕ | 2 ⩽ B H {\left | \phi \right |^2} \leqslant {B_H} , wh
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::601f1fd50ff4db9465bc7b013f2d361a
https://doi.org/10.1090/s0002-9939-1994-1172943-2
Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání

Omezení vyhledávání
Plný text Recenzováno Digitální knihovna AV ČR
Zdroje