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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

2 votes

Existence of an isometric embedding into Euclidean space with bounded second fundamental form

The Gauss Equations are able to give you some coarse information immediately, see for instance the wikipedia article http://en.wikipedia.org/wiki/Gauss–Codazzi_equations here. For instance, if $M$ is …
Ken Knox's user avatar
2 votes

Relationship between the focal locus and the cut locus

This is basically a long comment. I will restrict my remarks to your first question, except that I will talk about controlling cut/focal points instead of intuitively understanding them, but I hope s …
Ken Knox's user avatar