(2005a). Differential topology and geometry of smooth embedded surfaces: selected topics. International Journal of Computational Geometry and Applications, Vol. 15, No. 5:511-536.F. Cazals and M. Pouget. Differential topology and geometry of smooth embedded surfaces: selected top- ics. Int. J....
Nevertheless, the physicist may get a feeling for the importance of modern differential and algebraic topology for his field and will appreciate the though uncomplete but condensed presentation of a lot of its results. 展开 关键词: Geometry, Differential ...
doi:10.1142/2029Mikhail G KatzCONSULTANTS BUREAUJ. SCHWARTZ, Differential geometry and Topology, Gordon and Breach, New York, 1968.
This note exposes the differential topology and geometry underlying some of the basic phenomena of optimal transportation. It surveys basic questions concerning Monge maps and Kantorovich measures: existence and regularity of the former, uniqueness of the latter, and estimates for the dimension of its ...
Geometry, DifferentialThe aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics. A broad range of themes is covered, including convex sets, Kaehler manifolds and moment map, ...
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Geometry, analysis, and algebraic geometry. Forty years of the Journal of Differential Geometry. Based on the 7th conference on geometry and topology, Camb... Geometry, analysis, and algebraic geometry. Forty years of the Journal of Differential Geometry. Based on the 7th conference on geometry ...
and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields. The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconi...
ISBN: 978-981-281-601-6 This book gives an outline of the developments of differential geometry and topology in the twentieth century, especially those which will be closely related to new discoveries in theoretical physics. Contents: Differential Manifolds: ...