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Posted on 2010-09-29
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More Critical Point Theory in Global Analysis and Differential Topology From its beginning critical point theory has been concerned with mutual relations between topology and geometric analysis, including differential geometry. Although it may have seemed to many to have been directed in its initial years toward applications of topology to analysis, one now sees that the road from topology to geometric analysis is a two-way street. Today the methods of critical point theory enter into the foundations of almost all studies of analysis or geometry “in the large.” Mathematicians are finding that the study of global analysis or differential topology requires a knowledge not only of the separate techniques of analysis, differential geometry, topology, and algebra, but also a deeper understanding of how these fields can join forces. It is the object of this book to add to this understanding in a new way, a way that lays rigorous and revealing foundations. The reader may be interested in diverse problems: in the Poincart problem when n = 3 or 4, in the existence of equilibria in conservative fields of forces, in the existence of periodic orbits, in global aspects of Lie theory, or even in the possibility of new approaches to homology or homotopy theory by way of critical point theory. download click HERE: @-$- Download many interesting free eBooks HERE!!! -$-@
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