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pro vyhledávání: '"Tokura, Willian Isáo"'
We establish the necessary and sufficient conditions for constructing gradient Einstein-type warped metrics. One of these conditions leads us to a general Lichnerowicz equation with analytic and geometric coefficients for this class of metrics on the
Externí odkaz:
http://arxiv.org/abs/2407.10337
In this paper we investigate gradient Yamabe solitons, either steady or shrinking, that can be isometrically immersed into space forms as hypersurfaces that admit an upper bound on the norm of their second fundamental form. Those solitons satisfying
Externí odkaz:
http://arxiv.org/abs/2312.11120
In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturally those called quotient Yamabe solitons. We then present sufficient co
Externí odkaz:
http://arxiv.org/abs/2011.03569
In this paper, by slightly modifying Li-Yau's technique so that we can handle drifting Laplacians, we were able to find three different gradient estimates for the warping function, one for each sign of the Einstein constant of the fiber manifold. As
Externí odkaz:
http://arxiv.org/abs/1905.00068
In this paper, we look for properties of gradient Yamabe solitons on top of warped product manifolds. Utilizing the maximum principle, we find lower bound estimates for both the potential function of the soliton and the scalar curvature of the warped
Externí odkaz:
http://arxiv.org/abs/1904.08288
Autor:
Tokura, Willian Isáo
Publikováno v:
Biblioteca Digital de Teses e Dissertações da UFGUniversidade Federal de GoiásUFG.
Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2016-05-12T14:30:07Z No. of bitstreams: 2 Dissertação - Willian Isao Tokura - 2016.pdf: 1022753 bytes, checksum: 1aa3e744e52e76a8f391551c03a33554 (MD5) license_rdf: 23148 bytes, checksum: 9da0b6
Externí odkaz:
http://repositorio.bc.ufg.br/tede/handle/tede/5554
The purpose of this article is to study gradient Yamabe soliton on warped product manifolds. First, we prove triviality results in the case of noncompact base with limited warping function, and for compact base. In order to provide nontrivial example
Externí odkaz:
http://arxiv.org/abs/1811.09468
In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Caffarelli-Kohn-Nirenberg inequality with same exponent n(n>1), then it has exactly n-dimensional volume growth. As application, we obtain geometri
Externí odkaz:
http://arxiv.org/abs/1711.04836
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