Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Tokura, Willian"'
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 show that any compact quasi $k$-Yamabe gradient solitons must have constant $\sigma_{k}$-curvature. Moreover, we provide a certain condition for a compact quasi $k$-Yamabe soliton to be gradient, and for noncompact solitons, we pres
Externí odkaz:
http://arxiv.org/abs/2106.10833
Autor:
TOKURA, Willian1 williantokura@ufgd.edu.br, ADRIANO, Levi2 levi@ufg.br, BATISTA, Elismar3 elismardb@gmail.com, BEZERRA, Adriano4 adriano.bezerra@ifgoiano.edu.br
Publikováno v:
Turkish Journal of Mathematics. 2024, Vol. 48 Issue 3, p541-556. 17p.
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
Autor:
Tokura, Willian, Batista, Elismar
In this paper, we show that any compact gradient k-Yamabe soliton must have constant $\sigma_k$-curvature. Moreover, we provide a certain condition for a compact k-Yamabe soliton to be gradient.
Externí odkaz:
http://arxiv.org/abs/2006.00501
In this paper we study gradient Ricci-Harmonic soliton with structure of warped product manifold. We obtain some triviality results for the potential function, warping function and the harmonic map which reaches maximum or minimum. In order to obtain
Externí odkaz:
http://arxiv.org/abs/1906.11933
In this paper we utilize symmetries in order to exhibit exact solutions to Einstein's equation of a perfect fluid on a static manifold all of whose spatial factor belongs to the conformal class of a Riemannian space of constant curvature.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/1905.00114
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