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Meeting On Quaternionic Structures In Mathematics And Physics


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


Quaternionic Structures In Mathematics And Physics Proceedings Of The Second Meeting
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Author : Stefano Marchiafava
language : en
Publisher: World Scientific
Release Date : 2001-07-11

Quaternionic Structures In Mathematics And Physics Proceedings Of The Second Meeting written by Stefano Marchiafava and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-07-11 with Mathematics categories.


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.



Meeting On Quaternionic Structures In Mathematics And Physics


Meeting On Quaternionic Structures In Mathematics And Physics
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Author :
language : en
Publisher:
Release Date : 1994

Meeting On Quaternionic Structures In Mathematics And Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Second Meeting On Quaternionic Structures In Mathematics And Physics


Second Meeting On Quaternionic Structures In Mathematics And Physics
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Author :
language : en
Publisher:
Release Date : 1999

Second Meeting On Quaternionic Structures In Mathematics And Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.




Advances In Analysis And Geometry


Advances In Analysis And Geometry
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Author : Tao Qian
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Advances In Analysis And Geometry written by Tao Qian and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations ·2 ·2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn't be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space.



Proceedings Of The Meeting On Quaternionic Structures In Mathematics And Physics


Proceedings Of The Meeting On Quaternionic Structures In Mathematics And Physics
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Author : E. Bonan
language : en
Publisher:
Release Date : 1995

Proceedings Of The Meeting On Quaternionic Structures In Mathematics And Physics written by E. Bonan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Mathematical Reviews


Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2003

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.




Riemannian Submersions And Related Topics


Riemannian Submersions And Related Topics
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Author : Maria Falcitelli
language : en
Publisher: World Scientific
Release Date : 2004

Riemannian Submersions And Related Topics written by Maria Falcitelli and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


- First systematic exposition devoted to Riemannian submersions - Deals with current material - Contains a wide-ranging bibliography and about 350 references



Differential Geometry Of Lightlike Submanifolds


Differential Geometry Of Lightlike Submanifolds
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Author : Krishan L. Duggal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-02

Differential Geometry Of Lightlike Submanifolds written by Krishan L. Duggal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-02 with Mathematics categories.


This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.



S Gaku Expositions


S Gaku Expositions
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Author :
language : en
Publisher:
Release Date : 2006

S Gaku Expositions written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.




Poisson Structures And Their Normal Forms


Poisson Structures And Their Normal Forms
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Author : Jean-Paul Dufour
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-17

Poisson Structures And Their Normal Forms written by Jean-Paul Dufour and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-17 with Mathematics categories.


The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.