Geometry in Partial Differential Equations (Hardcover) (ISBN-13: 9789810214074)

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations. It provides an attempt to follow certain threads that interconnect various approaches in the geometric applications and influence of partial differential equations. A few such approaches include: Morse-Palais-Smale theory in global variational calculus, general methods to obtain conservation laws for PDEs, structural investigation for the understanding of the meaning of quantum geometry in PDEs, extensions to super PDEs (formulated in the category of supermanifolds) of the geometrical methods just introduced for PDEs and the harmonic theory which proved to be very important especially after the appearance of the Atiyah-Singer index theorem, which provides a link between geometry and topology.

Author: Themistocles M. Rassias
ISBN-10: 9810214073
ISBN-13: 9789810214074
Publisher: World Scientific Publishing Company
Language: English
Published: 01/01/1994
Pages: 476
Format: Hardcover