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Topics in the theory of minimal isometric immersions

Abstract

The projects deals with minimal submanifolds in Euclidean spaces and in spheres. More specifically, we plan to discover new methods of constructing examples of such submanifolds that satisfy additional properties, such as the existence of minimal isometric deformations. In particular, we plan to give explicit constructions of compact, or Kaehler, minimal submanifolds is spheres, as well as associated families of such isometric deformations. (AU)

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