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pro vyhledávání: '"Batista, Márcio"'
In this paper, we obtain geometric upper bounds for the first eigenvalue $\lambda_1^J$ of the Jacobi operator for both closed and compact with boundary hypersurfaces having constant mean curvature (CMC). As an application, we derive new rigidity resu
Externí odkaz:
http://arxiv.org/abs/2405.18233
On a Riemannian manifold with a smooth function $f: M\to \mathbb{R}$, we consider the linearization of the Perelman scalar curvature $\mathcal{R}$ and its $L^2$-formal adjoint operator $\delta\mathcal{R}^*$. A manifold endowed with a metric $g$ whose
Externí odkaz:
http://arxiv.org/abs/2404.09369
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 205-246 (2024)
Our purpose is to establish nonexistence results concerning complete noncompact mean curvature flow solitons with polynomial volume growth immersed in certain semi-Riemannian warped products, under mild constraints on the warping and soliton function
Externí odkaz:
https://doaj.org/article/e60b4b5dc7b84d0292fc0cae77ac17a3
In this article, under mild constraints on the sectional curvature, we exploit a divergence formula for symmetric endomorphisms to deduce a general Poincar\'e type inequality. We apply such inequality to higher-order mean curvature of hypersurfaces o
Externí odkaz:
http://arxiv.org/abs/2203.10334
Autor:
Batista, Márcio
A soldagem a ponto por resistência é o processo mais usado na montagem de estruturas, tais como: automóveis, caminhões, aviões, vagões de trem, etc. Como exemplo, na montagem das carrocerias de automóveis são necessários em média 5.000 pont
Publikováno v:
In Journal of Differential Equations 5 October 2023 369:156-179
Akademický článek
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Autor:
Batista, Marcio, Santos, Jose I.
In this paper, we study geometric rigidity of Riemannian manifolds admitting stable solutions of certain elliptic problems (stability in a variational sense), that is, under suitable hypotheses, we are able to characterize the Riemannian manifold whi
Externí odkaz:
http://arxiv.org/abs/1802.03614
Autor:
Adauto, Diego1 (NURSE), Batista, Márcio2 (AUTHOR) mhbs@mat.ufal.br
Publikováno v:
Mathematische Nachrichten. Oct2023, Vol. 296 Issue 10, p4673-4685. 13p.
Publikováno v:
In Differential Geometry and its Applications August 2022 83