Quaternionic Structures In Mathematics And Physics - Proceedings Of The Second Meeting

Bok av Marchiafava Stefano Marchiafava
During the last five years, after the first meeting on "e;Quaternionic Structures in Mathematics and Physics"e;, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Kahler, hyper-Kahler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Kahler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book.