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Second Meeting On Quaternionic Structures In Mathematics And Physics


Second 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.



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.




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.




Proceedings Of The Second Meeting


Proceedings Of The Second Meeting
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Author : Paolo.. Piccinni
language : en
Publisher:
Release Date : 2001

Proceedings Of The Second Meeting written by Paolo.. Piccinni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.




A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures


A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures
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Author : Vicente Cortés
language : en
Publisher: American Mathematical Soc.
Release Date : 2000

A New Construction Of Homogeneous Quaternionic Manifolds And Related Geometric Structures written by Vicente Cortés and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


Let $V = {\mathbb R}^{p,q}$ be the pseudo-Euclidean vector space of signature $(p,q)$, $p\ge 3$ and $W$ a module over the even Clifford algebra $C\! \ell^0 (V)$. A homogeneous quaternionic manifold $(M,Q)$ is constructed for any $\mathfrak{spin}(V)$-equivariant linear map $\Pi : \wedge^2 W \rightarrow V$. If the skew symmetric vector valued bilinear form $\Pi$ is nondegenerate then $(M,Q)$ is endowed with a canonical pseudo-Riemannian metric $g$ such that $(M,Q,g)$ is a homogeneous quaternionic pseudo-Kahler manifold. If the metric $g$ is positive definite, i.e. a Riemannian metric, then the quaternionic Kahler manifold $(M,Q,g)$ is shown to admit a simply transitive solvable group of automorphisms. In this special case ($p=3$) we recover all the known homogeneous quaternionic Kahler manifolds of negative scalar curvature (Alekseevsky spaces) in a unified and direct way. If $p>3$ then $M$ does not admit any transitive action of a solvable Lie group and we obtain new families of quaternionic pseudo-Kahler manifolds. Then it is shown that for $q = 0$ the noncompact quaternionic manifold $(M,Q)$ can be endowed with a Riemannian metric $h$ such that $(M,Q,h)$ is a homogeneous quaternionic Hermitian manifold, which does not admit any transitive solvable group of isometries if $p>3$. The twistor bundle $Z \rightarrow M$ and the canonical ${\mathrm SO}(3)$-principal bundle $S \rightarrow M$ associated to the quaternionic manifold $(M,Q)$ are shown to be homogeneous under the automorphism group of the base. More specifically, the twistor space is a homogeneous complex manifold carrying an invariant holomorphic distribution $\mathcal D$ of complex codimension one, which is a complex contact structure if and only if $\Pi$ is nondegenerate. Moreover, an equivariant open holomorphic immersion $Z \rightarrow \bar{Z}$ into a homogeneous complex manifold $\bar{Z}$ of complex algebraic group is constructed. Finally, the construction is shown to have a natural mirror in the category of supermanifolds. In fact, for any $\mathfrak{spin}(V)$-equivariant linear map $\Pi : \vee^2 W \rightarrow V$ a homogeneous quaternionic supermanifold $(M,Q)$ is constructed and, moreover, a homogeneous quaternionic pseudo-Kahler supermanifold $(M,Q,g)$ if the symmetric vector valued bilinear form $\Pi$ is nondegenerate.



High Energy Physics And Cosmology Proceedings Of The 1995 Summer School


High Energy Physics And Cosmology Proceedings Of The 1995 Summer School
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Author : E Gava
language : en
Publisher: World Scientific
Release Date : 1997-02-27

High Energy Physics And Cosmology Proceedings Of The 1995 Summer School written by E Gava and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-27 with categories.




Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002


Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002
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Author : Sebastian Walcher
language : en
Publisher: World Scientific
Release Date : 2003-01-14

Symmetry And Perturbation Theory Proceedings Of The International Conference On Spt 2002 written by Sebastian Walcher and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-14 with Science categories.


This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc.



Invariants Of Knots And 3 Manifolds Kyoto 2001


Invariants Of Knots And 3 Manifolds Kyoto 2001
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Author :
language : en
Publisher:
Release Date : 2002

Invariants Of Knots And 3 Manifolds Kyoto 2001 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Knot theory categories.




N 2 Supergravity In D 4 5 6 Dimensions


N 2 Supergravity In D 4 5 6 Dimensions
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Author : Edoardo Lauria
language : en
Publisher: Springer Nature
Release Date : 2020-03-11

N 2 Supergravity In D 4 5 6 Dimensions written by Edoardo Lauria and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Science categories.


This graduate-level primer presents a tutorial introduction to and overview of N = 2 supergravity theories - with 8 real supercharges and in 4, 5 and 6 dimensions. First, the construction of such theories by superconformal methods is explained in detail, and relevant special geometries are obtained and characterized. Following, the relation between the supergravity theories in the various dimensions is discussed. This leads eventually to the concept of very special geometry and quaternionic-Kähler manifolds. This concise text is a valuable resource for graduate students and young researchers wishing to enter the field quickly and efficiently.