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On Hypersurfaces of Spheres with Two Principal Curvatures
(2011)
In this paper we obtain a classification of hypersurfaces in the Euclidean sphere having two principal curvatures; for some of the results we impose that the sectional curvature (Ricci curvature, resp.) is non-negative Ricci.
Codimension two submanifolds with 2-nonnegative curvature operator
(2008)
In this paper we obtain a classification of compact n-submanifolds of the Euclidean space Rn+2 with 2-nonnegative curvature operator.
Curvature Estimates for Submanifolds in Warped Products
(BIRKHAUSER VERLAG AG, 2011)
We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case ...
Lower Bound for the First Steklov Eigenvalue.
(2018-07-18)
In this paper we find lower bounds for the first Steklov eigenvalue in Riemannian
n-manifolds, n = 2, 3, with non-positive sectional curvature.
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor
(Balkan Soc GeometersBucharestRoménia, 2005)
On Einstein four-manifolds
(EBEPEGE, 2004)
Sectional curvature and commutation of pairs of selfadjoint operators
(Theta Foundation, 2006-04)
The space G^+ of postive invertible operators of a C*-algebra A, with the appropriate Finsler metric, behaves like a (non positively curved)symmetric space. Among the characteristic properties of such spaces, one has that ...