This volume contains the proceedings of the AMS Special Session on Recent Advanced in Differential Geometry, held virtually on April 1-2, 2023, and the Tenth Congress of Romanian Mathematicians Special Session on Recent Advances in the Geometry of S...Loe edasi...
(Ilmumisaeg: 30-Mar-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470429522)
This book introduces the method of moving frames as developed by Elie Cartan, for beginning graduate students familiar with the geometry of curves and surfaces in Euclidean space. It focuses on the use of this method to compute local geometric in...Loe edasi...
(Ilmumisaeg: 30-Dec-2016, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470409869)
This graduate text introduces exterior differential systems, their application to partial differential equations, and the use of moving frames in algebraic geometry. Three chapters on the Cartan-Kahler theorem derive Cartan’s test for constant co...Loe edasi...
This book is based on notes that Schwartz made when he taught an undergraduate seminar on surfaces at Brown University in 2005. Students should have completed a semester each in real analysis, abstract algebra, and complex analysis, though he embeds...Loe edasi...