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  1. No Access

    Article

    A lower bound for the norm of the second fundamental form of minimal hypersurfaces of \( \mathbb{S}^{n+1} \)

    The aim of this paper is to give an estimate for the squared norm S of the second fundamental form A of a compact minimal hypersurface ...

    J. N. Barbosa, A. Barros in Archiv der Mathematik (2003)

  2. No Access

    Article

    Estimate for index of hypersurfaces in spheres with null higher order mean curvature

    In a recent paper (Barros, Sousa in: Kodai Math. J. 2009) the authors proved that closed oriented non-totally geodesic minimal hypersurfaces of the Euclidean unit sphere have index of stability greater than or...

    A. Barros, P. Sousa in Monatshefte für Mathematik (2010)

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    Article

    Some Applications of the Hodge-de Rham Decomposition to Ricci Solitons

    The aim of this paper is to present a link between the Perelman potential for a compact Ricci soliton M n and the Hodge-de Rham decomposition theorem, we shall ...

    C. Aquino, A. Barros, E. Ribeiro Jr. in Results in Mathematics (2011)

  4. No Access

    Article

    Rotational linear Weingarten surfaces into the Euclidean sphere

    The aim of this paper is to present a complete description of all rotational linear Weingarten surfaces in the Euclidean sphere $$\mat...

    A. Barros, J. Silva, P. Sousa in Israel Journal of Mathematics (2012)

  5. Article

    Erratum to: Some Applications of the Hodge-de Rham Decomposition to Ricci solitons

    The aim of this note is to clarify a minor mistake in the article: Some Applications of the Hodge-de Rham Decomposition to Ricci solitons.

    C. Aquino, A. Barros, E. Ribeiro Jr. in Results in Mathematics (2013)

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    Article

    Compact almost Ricci solitons with constant scalar curvature are gradient

    The aim of this note is to prove that any compact non-trivial almost Ricci soliton \(\big (M^n,\,g,\,X,\,\lambda \big )\) ...

    A. Barros, R. Batista, E. Ribeiro Jr. in Monatshefte für Mathematik (2014)

  7. No Access

    Article

    On static manifolds and related critical spaces with zero radial Weyl curvature

    The aim of this paper is to study compact Riemannian manifolds \((M,\,g)\)(M,g) that admit a non-constant solution to the system of equations $$\begin{aligned} -\Delta f\, g+Hess f-fRic=\mu Ric+\lambda g, \end{al...

    H. Baltazar, A. Barros, R. Batista, E. Viana in Monatshefte für Mathematik (2020)