Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Rosa Maria dos Santos Barreiro Chaves"'
Publikováno v:
Biblioteca Digital de Teses e Dissertações da USP
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
não disponível In this we are mainly concerned with the study of (special) 2-parameter envelopes of n-spheres 'M POT.N' (n'MAIOR IGUAL'4) in a simply connected space forms 'Q IND.C POT.N+1' (c=0, 1 or -1) which satisfy the weingarten relation a+bh+
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98ab816e432a35fda88176400fe76b6f
https://doi.org/10.11606/t.45.1990.tde-20210728-235557
https://doi.org/10.11606/t.45.1990.tde-20210728-235557
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In recent decades, there has been an increase in the number of publications related to the hypersurfaces of real space forms with two principal curvatures. The works focus mainly on the case when one of the two principal curvatures is simple. The pur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33304cc5e37e1743ec912564dbb52a08
https://doi.org/10.1007/s00025-020-01309-x
https://doi.org/10.1007/s00025-020-01309-x
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this work, we study the geometric properties of spacelike foliations by hypersurfaces on a Lorentz manifold. We find an equation that relates the foliation with the ambient manifold and applies it to investigate conditions for the leaves being tot
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c493915d04cde59cb4375e35b034fec1
Publikováno v:
Illinois Journal of Mathematics. 63
In this paper, we classify the hypersurfaces in Sn×R and Hn×R, n≠3, with g distinct constant principal curvatures, g∈{1,2,3}, where Sn and Hn denote the sphere and hyperbolic space of dimension n, respectively. We prove that such hypersurfaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8abc3f4428eb5e7bfb327870888d142f
https://doi.org/10.1215/00192082-8018599
https://doi.org/10.1215/00192082-8018599
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Motivated by a classical result due to Ricci-Curbastro that gives necessary and sufficient conditions for a metric to be realizable on a minimal surface in the euclidean space, in this paper we study the same problem for maximal surfaces in the Loren
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57e11c6993d4fd2893a3cf777213d449
https://doi.org/10.1007/s00025-016-0596-x
https://doi.org/10.1007/s00025-016-0596-x
Publikováno v:
Journal of Mathematical Analysis and Applications. 377:481-494
We solve the Bjorling problem for timelike surfaces in the Lorentz–Minkowski space through a split-complex representation formula obtained for this kind of surface. Our approach uses the split-complex numbers and natural split-holomorphic extension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8bdf8d09f5db24359075320cdab9ef1d
https://doi.org/10.1016/j.jmaa.2010.10.076
https://doi.org/10.1016/j.jmaa.2010.10.076
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this work we obtain a local classification of connected ruled Weingarten spacelike hypersurfaces M n , n ≥ 3 in the Lorentz–Minkowski space L n + 1 and in de Sitter space S 1 n + 1 ⊂ L n + 2 .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e5f230f2c6ed4f97676f3e6f46828fa
https://doi.org/10.1016/j.geomphys.2009.12.013
https://doi.org/10.1016/j.geomphys.2009.12.013
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres is not included). We reduce
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eb7b89ec52829d503a69f2aa2092e83
https://doi.org/10.2140/pjm.2010.244.1
https://doi.org/10.2140/pjm.2010.244.1
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Let $${{\mathbb{Q}^4}(c)}$$ be a four-dimensional space form of constant curvature c. In this paper we show that the infimum of the absolute value of the Gauss–Kronecker curvature of a complete minimal hypersurface in $${\mathbb{Q}^4(c), c\leq 0}$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a308a27b5143918b69454eecd155474
https://doi.org/10.1007/s00209-009-0633-5
https://doi.org/10.1007/s00209-009-0633-5
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this paper we give a partially affirmative answer to the following question posed by Haizhong Li: is a complete spacelike hypersurface in De Sitter space S 1 n + 1 ( c ) , n ⩾ 3 , with constant normalized scalar curvature R satisfying n − 2 n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3da9cb6afd881dc95010572e5dd3f837