Quaternionic Structures In Mathematics And Physics
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| Title: | Quaternionic Structures In Mathematics And Physics |
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| Description: | During the last five years, after the first meeting on “Quaternionic Structures in Mathematics and Physics”, 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 Kähler, hyper-Kähler, 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-Kähler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book. |
| Authors: | Stefano Marchiafava, Paolo Piccinni, Massimiliano Pontecorvo |
| Resource Type: | eBook. |
| Subjects: | Quaternions--Congresses, Complex manifolds--Congresses, Geometry, Differential--Congresses |
| Categories: | MATHEMATICS / Geometry / General, MATHEMATICS / Topology, SCIENCE / Physics / Mathematical & Computational |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | During the last five years, after the first meeting on “Quaternionic Structures in Mathematics and Physics”, 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 Kähler, hyper-Kähler, 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-Kähler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book. |
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| ISBN: | 9789810246303 9789812810038 |
