In this paper, we investigate singular minimal hypersurfaces of the product of spheres S n 1
(r 1)× S n 2 (r 2). Using special cutoff functions and an ingenious trick, we prove a gap in the …

We prove that for an embedded unstable one-sided minimal hypersurface of the-
dimensional real projective space, the Morse index is at least, and this bound is attained by …

In this thesis we study minimal submanifolds of bounded index. A minimal submanifold is a
critical point of the area functional. Its Morse index measures the stability of the minimal …

In this paper, we study the Morse index of closed minimal submanifolds immersed into
general Riemannian manifolds. Using the strategy developed by Ambrozio et al.(J Differ …

Nesta Tese de doutorado são provadas estimativas para o índice de Morse de
hipersuperfícies mínimas em cinco contextos distintos:(1): Demonstramos a não existência …

Nesta Tese de doutorado são provadas estimativas para o índice de Morse de
hipersuperfícies mínimas em cinco contextos distintos:(1): Demonstramos a não existência …