Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Oscar PALMAS"'
Publikováno v:
International Electronic Journal of Geometry. 16:304-333
A null manifold is a differentiable manifold M endowed with a degenerate metric tensor g. In this work we provide sufficient conditions for a null manifold to be isometrically immersed as a hypersurface into a simple connected semi-Riemannian manifol
Autor:
A. Gervasio Colares, Oscar Palmas
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 201:2261-2285
Publikováno v:
Results in Mathematics. 78
Autor:
Josué Meléndez, Oscar Palmas
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 28
Autor:
Oscar Palmas
Publikováno v:
Miscelánea Matemática de la Sociedad Matemática Mexicana. 70:59-75
Publikováno v:
Mathematische Nachrichten. 293:1534-1553
We introduce a class of null hypersurfaces of a semi-Riemannian manifold, namely, screen quasi-conformal hypersurfaces, whose geometry may be studied through the geometry of its screen distribution. In particular, this notion allows us to extend some
Publikováno v:
Developments in Lorentzian Geometry ISBN: 9783031053788
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce26e1a3ceb587fad250269a74a47cc8
https://doi.org/10.1007/978-3-031-05379-5_15
https://doi.org/10.1007/978-3-031-05379-5_15
Publikováno v:
Differential Geometry and its Applications. 84:101923
Autor:
Oscar Palmas
Publikováno v:
Mediterranean Journal of Mathematics. 18
We define and study the hypersurfaces in the title, showing that under suitable conditions they have at most two different non-zero screen principal curvatures. In the case of having exactly two different non-zero screen principal curvatures at each
Publikováno v:
Differential Geometry and its Applications. 58:65-82
In this paper we study the rigidity of complete hypersurfaces with constant scalar curvature in Riemannian space forms. Under an appropriate constraint on Φ, the traceless part of its second fundamental form, we prove that either the hypersurface is