In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Gra...Daugiau...
(Išleidimo metai: 30-Dec-2016, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470435912)
Two central aspects of Cartans approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications...Daugiau...
Serija: Proceedings of Symposia in Pure Mathematics
(Išleidimo metai: 01-Feb-2018, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470442767)
This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015-January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier rese...Daugiau...
(Išleidimo metai: 31-Jul-2024, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470413811)
Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions. T...Daugiau...
David M Calderbank, Michael G. Eastwood, Vladimir S. Matveev, Katharina Neusser
Serija: Memoirs of the American Mathematical Society
(Išleidimo metai: 30-Mar-2021, PDF+DRM, Leidėjas: American Mathematical Society, ISBN-13: 9781470463977)
The authors develop in detail the theory of (almost) c-projective geometry, a natural analogue of projective differential geometry adapted to (almost) complex manifolds. The authors realise it as a type of parabolic geometry and describe the associat...Daugiau...
