Geometry

This volume, first published in 2000, presents a classical approach to the foundations and development of the geometry of vector fields, describing vector fields in three-dimensional Euclidean space, triply-orthogonal systems and applications in mechanics...

This work explores new aspects of virtual topology and functor geometry as well as more established facets of noncommutative algebra. The author suggests possible projects that range from straightforward exercises to advanced research level and supplies the necessary background material, including l..

This book is the first monograph dedicated wholly to Willmore energy and surfaces as contemporary topics in differential geometry. It also sits at the intersection between integrable systems, harmonic maps, Lie groups, calculus of variations, geometric analysis and applied differential geometry...