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An Atiyah-Bott formula for the Lefschetz number of a singular foliation
Luiz Hartmann, Gerardo A. Mendoza
This paper presents a formula for the Lefschetz number of a geometric endomorphism in the style of the Atiyah-Bott theorem. The underlying data consist, first, of a compact manifol…
On the anomaly terms in Cheeger-Müller theorem on spaces with conical singularities
Luiz Hartmann, Mauro Spreafico
We prove that the anomaly term appearing in the ratio between Reidemeister torsion and analytic torsion for a space with a conical singularity vanishes in the smooth case. Moreover…
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces
Alexandre Paiva Barreto, Francisco Fontenele, Luiz Hartmann
We prove that there are no regular algebraic hypersurfaces with non-zero constant mean curvature in the Euclidean space , , defined by polynomials of odd…
Curvature estimates for graphs in warped products
Alexandre Paiva Barreto, Fabiani A. Coswosck, Luiz Hartmann
We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using…
Rotational Surfaces with second fundamental form of constant length
Alexandre P. Barreto, Francisco Fontenele, Luiz Hartmann
We obtain an infinite family of complete non embedded rotational surfaces in whose second fundamental forms have length equal to one at any point. Also we prove that…