C. Onti

collaborators

3 papers

math.DG2026

On $q$ -convex hypersurfaces in Riemannian manifolds

Giulio Colombo, Christos-Raent Onti

We prove that any closed, convex hypersurface in an $(n + 1)$ -dimensional Riemannian manifold with $⌈ \frac{n}{2} ⌉$ -positive curvature operator is a rational homology sphe…

math.DG2025

On the first eigenvalue of the Hodge Laplacian of submanifolds

Christos-Raent Onti

We prove that equality in a sharp lower bound for the first $p$ -eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assum…

math.DG2025

Partial Scalar Curvatures and Topological Obstructions for Submanifolds

C. -R. Onti, K. Polymerakis, Th. Vlachos

We investigate specific intrinsic curvatures $I ¨ _{k}$ (where $1 \leq k \leq n$ ) that interpolate between the minimum Ricci curvature $I ¨ _{1}$ and the normalized scalar curvature $Ï_n=Ï…

On q-convex hypersurfaces in Riemannian manifolds

On the first eigenvalue of the Hodge Laplacian of submanifolds

Partial Scalar Curvatures and Topological Obstructions for Submanifolds

On $q$ -convex hypersurfaces in Riemannian manifolds