C. Onti

activity

20162026

collaborators

15 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.DG2024

Partial Scalar Curvatures and Topological Obstructions for Submanifolds

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

We investigate specific intrinsic curvatures $ρ_{k}$ (where $1 \leq k \leq n$ ) that interpolate between the minimum Ricci curvature $ρ_{1}$ and the normalized scalar curvature $ρ_{n} = ρ$ of…

math.DG2022

On Einstein submanifolds of Euclidean space

M. Dajczer, C. -R. Onti, Th. Vlachos

Let the warped product $M^{n} = L^{m} \times_{φ} F^{n - m}$ , $n \geq m + 3 \geq 8$ , of Riemannian manifolds be an Einstein manifold with Ricci curvature $ρ$ that admits an isometric immersion into…

math.DG2021

Homology vanishing theorems for pinched submanifolds

Christos-Raent Onti, Theodoros Vlachos

We investigate the geometry and topology of submanifolds under a sharp pinching condition involving extrinsic invariants like the mean curvature and the length of the second fundam…