Lectures on minimal surfaces
by Nitsche, Johannes C.C, Feinberg, Jerry M., Schmidt, Annelise
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises…
Metric and comparison geometry
by Grove, Karsten, Cheeger, Jeff
fromSurveys in differential geometry
In the second half of the twentieth century the global theory of minimal surface in flat space had an unexpected and rapid blossoming. Some of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different vi…
This book gives a detailed account of the analytic foundations of gauge theory -- Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It intends to guide graduate students into the analysis of Yang-Mills theory as well as to serve as a refere…
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given man…