2 papers
math.DG2025
Ricci pinched compact submanifolds in spheres
Marcos Dajczer, Theodoros Vlachos
We investigate the topology of the compact submanifolds in round spheres that satisfy a lower bound on the Ricci curvature depending only on the length of the mean curvature vector…
math.DG2024
A topological sphere theorem for submanifolds of the hyperbolic space
M. Dajczer, Th. Vlachos
We identify as topological spheres those complete submanifolds lying with any codimension in hyperbolic space whose Ricci curvature satisfies a lower bound contingent solely upon t…