The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions.
The Unknottedness of Minimal Embeddings.
The Weierstrass representation for complete minimal real Kaehler submanifolds of codimension two.
Three-dimensional slant submanifolds of -contact manifolds.
Tight and 0-Tight Polyhedral Embeddings of Surfaces.
Tight embeddings of simply connected 4-manifolds.
Tight immersions of highly connected manifolds.
Topological and metric rigidity teorems for hypersurfaces in a hyperbolic space
In this paper we study the topological and metric rigidity of hypersurfaces in , the -dimensional hyperbolic space of sectional curvature . We find conditions to ensure a complete connected oriented hypersurface in to be diffeomorphic to a Euclidean sphere. We also give sufficient conditions for a complete connected oriented closed hypersurface with constant norm of the second fundamental form to be totally umbilic.
Topology and geometry of complete submanifolds in euclidean spaces
This paper is a survey of results on topological structures and curvature structures of complete submanifolds in a Euclidean space.
Total curvature for knotted surfaces.
Total curvature of manifolds in self-immersed manifolds.
Totale Absolutkrümmung von Hyperflächen
Totally geodesic foliations.
Totally real minimal submanifolds in a quaternion projective space
We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).
Totally real submanifolds in a complex projective space.
Transversally symmetric immersions
We introduce the notions of (extrinsic) locally transversally symmetric immersions and submanifolds in a Riemannian manifold equipped with a unit Killing vector field as analogues of those of (extrinsic) locally symmetric immersions and submanifolds. We treat their geometric properties, derive several characterizations and give a list of examples.
Trapping quasiminimizing submanifolds in spaces of negative curvature.