Riemannian Geometry of Submanifolds

Dear Colleagues,

Submanifold theory can be thought of as a generalization of the study of surfaces in the 3-dimensional Euclidean space. In the general theory, both the dimension of the submanifold and the codimension, which is the difference between the dimension of the ambient space and the dimension of the submanifold, can be arbitrarily high, and the ambient space does not need to be flat. A key problem in the theory is to study the relations and the interplay between intrinsic invariants, which only depend on the submanifold as a manifold itself, and extrinsic invariants, which depend on the immersion, i.e., on the shape that the submanifold takes in the ambient space.

Prof. Dr. Luc Vrancken
Guest Editor

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