Topology and Geometry of Intersections of Ellipsoids in R^n (eBook)

This book gives an overview of research in the topology and geometry of intersections of quadrics in $/mathbb{R}^n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results.

?Santiago López de Medrano is a Research Professor in Mathematics at the Universidad Nacional Autónoma de México (UNAM). After completing his PhD at Princeton University in 1968, his thesis was published as the highly influential book Involutions on Manifolds (Springer-Verlag, 1971). After Princeton, he returned to UNAM, where he has been ever since. He was President of the Mexican Mathematical Society (1969-1973) and has been an invited researcher and speaker at numerous international institutes and conferences. His research is primarily in differential topology, singularity theory, dynamical systems, mathematical biology and their interaction. Recently his focus has been on the topology of intersections of ellipsoids in $/mathbb{R}^n$, and its applications to dynamical systems and geometry. He is the author of over 60 publications. In addition to mathematical research, he has also been interested in the improvement of the teaching of mathematics from high school to graduate university level.