4 papers
Geometric and topological rigidity of pinched submanifolds in Riemannian manifolds
Theodoros Vlachos
We study the rigidity of compact submanifolds of arbitrary codimension in Riemannian manifolds satisfying a pinching condition involving the norm of the second fundamental form and…
Topological and geometric rigidity of nonnegatively curved submanifolds
Theodoros Vlachos
We investigate the topology and geometry of compact submanifolds in space forms of nonnegative curvature satisfying a lower bound on the sectional curvature that depends only on th…
Geometric and topological rigidity of pinched submanifolds II
Theodoros Vlachos
We continue the study of the geometry and topology of compact submanifolds of arbitrary codimension in space forms that satisfy a pinching condition involving the length of the sec…
Geometric and topological rigidity of pinched submanifolds
Theodoros Vlachos
We investigate the geometry and topology of compact submanifolds of arbitrary codimension in space forms satisfying a certain pinching condition involving the length of the second…