Zobrazeno 1 - 10
of 16
pro vyhledávání: '"José N. V. Gomes"'
Autor:
José N. V. Gomes
Publikováno v:
Differential Geometry and its Applications. 66:13-22
In this note, we show that a nontrivial, compact, degenerate or nondegenerate, gradient Einstein-type manifold of constant scalar curvature is isometric to the standard sphere with a well defined potential function. Moreover, under some geometric ass
Publikováno v:
Journal of Geometry and Physics. 143:22-32
We present the necessary and sufficient conditions for constructing gradient Ricci almost solitons that are realized as warped products. This will be done by means of Bishop-O'Neill's formulas and a particular study of Riemannian manifolds satisfying
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::becb50a18510aea588a789816093de39
Publikováno v:
Pacific Journal of Mathematics. 288:289-305
Autor:
Abdênago Barros, José N. V. Gomes
Publikováno v:
Results in Mathematics. 71:241-250
The goal of this note is to show that a compact m-quasi-Einstein manifold \({(M^{n}, g, X, \lambda)}\) has the vector field X identically zero provided that \({(M^{n}, g)}\) is an Einstein manifold.
Publikováno v:
Nonlinear Analysis. 133:15-27
We deal with complete hypersurfaces with two distinct principal curvatures in a locally symmetric Riemannian manifold, which is supposed to obey some appropriated curvature constraints. Initially, considering the case that such a hypersurface has con
Publikováno v:
Anais da Academia Brasileira de Ciências, Volume: 90, Issue: 3, Pages: 2663-2670, Published: SEP 2018
Anais da Academia Brasileira de Ciências v.90 n.3 2018
Anais da Academia Brasileira de Ciências
Academia Brasileira de Ciências (ABC)
instacron:ABC
Anais da Academia Brasileira de Ciências, Vol 90, Iss 3, Pp 2663-2670
Anais da Academia Brasileira de Ciências v.90 n.3 2018
Anais da Academia Brasileira de Ciências
Academia Brasileira de Ciências (ABC)
instacron:ABC
Anais da Academia Brasileira de Ciências, Vol 90, Iss 3, Pp 2663-2670
In this paper, we obtain a new characterization of the Euclidean sphere as a compact Riemannian manifold with constant scalar curvature carrying a nontrivial conformal vector field which is also conformal Ricci vector field.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::354fc8a6b2aaf75a693172356f289af9
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602663&lng=en&tlng=en
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652018000602663&lng=en&tlng=en
In this paper, we establish a kind of splitting theorem for the eigenvalues of a specific family of operators on the base of a warped product. As a consequence, we prove a density theorem for a set of warping functions that makes the spectrum of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f668c4c1927eb21d039d97a18e92a63e
http://arxiv.org/abs/1804.02726
http://arxiv.org/abs/1804.02726
Autor:
José N. V. Gomes, Ningwei Cui
Publikováno v:
Archiv der Mathematik. 104:289-300
The aim of this paper is to present a formula for the Gaussian curvature of an immersed surface in the Berger sphere \({\mathbb{S}_{\kappa,\tau}^3}\) which involves the contact angle \({\beta}\) . This allows us to conclude that, in the case of \({\k
Publikováno v:
Journal of Mathematical Analysis and Applications. 418:248-263
We deal with complete linear Weingarten spacelike hypersurfaces immersed in a Lorentzian space form, having two distinct principal curvatures. In this setting, we show that such a spacelike hypersurface must be isometric to a certain isoparametric hy