Abstract
The notions of focal point and support function are considered for a nondegenerate hypersurfaceMn in affine spaceRn+1 equipped with an equiaffine transversal field. IfMn is locally strictly convex, these two concepts are related via an Index theorem concerning the critical points of the support functions onMn. This is used to obtain characterizations of spheres and ellipsoids in terms of the critical point behavior of certain classes of affine support functions.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
