6533b870fe1ef96bd12d0440

RESEARCH PRODUCT

A Global View on Generic Geometry

Maria Del Carmen Romero Fuster

subject

Pure mathematicsInflection pointEuclidean spaceGravitational singularityConvexityMathematics

description

We describe how the study of the singularities of height and distance squared functions on submanifolds of Euclidean space, combined with adequate topological and geometrical tools, shows to be useful to obtain global geometrical properties. We illustrate this with several results concerning closed curves and surfaces immersed in \(\mathbb {R}^n\) for \(n=3,4, 5\).

https://doi.org/10.1007/978-3-319-73639-6_9