Quaternionic Structures in Mathematics and Physics: Proceedings of the Second Meeting Rome, Italy 6 - 10 September 1999

by Meeting on Quaternionic Structures in Mathematics and Physics 1999 ro; Piccinni, Paolo; Pontecorvo, Massimiliano; Marchiafava, Stefano; Marchiafava, Stefano; Piccinni, Paolo; Pontecorvo, Massimiliano

• ISBN13: 9789810246303
• ISBN10: 9810246307
• Format: Hardcover
• Copyright: 2001-10-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Proceedings of the Second Meeting, held in Rome, Italy, September 6-10, 1999. For researchers and graduate students in geometry, topology, mathematical physics and theoretical physics.

Table of Contents

Foreword	v
Introduction to the Contributions	vii
List of Participants	xi
Hypercomplex Structures on Special Classes of Nilpotent and Solvable Lie Groups	1	(6)
M. L. Barberis
Twistor Quotients of HyperKahler Manifolds	7	(16)
R. Bielawski
Quaternionic Contact Structures	23	(8)
O. Biquard
A New Construction of Homogeneous Quaternionic Manifolds and Related Geometric Structures	31	(70)
V. Cortes
Spencer Manifolds	101	(16)
St. Dimiev
R. Lazov
N. Milev
Quaternion Kahler Flat Manifolds	117	(8)
I. G. Dotti
Hyperholomorphic Functions in R4	125	(12)
S.-L. Eriksson-Bique
A Note on the Reduction of Sasakian Manifolds	137	(6)
G. Grantcharov
L. Ornea
A Theory of Quaternionic Algebra, with Applications to Hypercomplex Geometry	143	(52)
D. Joyce
A Canonical Hyperkahler Metric on the Total Space of a Cotangent Bundle	195	(36)
D. Kaledin
Equivariant Cohomology Rings of Toric HyperKahler Manifolds	231	(10)
H. Konno
An Introduction to Pseudotwistors Basic Constructions	241	(12)
J. Lawrynowicz
O. Suzuki
Differential Geometry of Circles in a Complex Projective Space	253	(12)
S. Maeda
T. Adachi
On Special 4-Planar Mappings of Almost Hermitian Quaternionic Spaces	265	(8)
J. Mikes
J. Belohlavkova
O. Pokorna
Special Spinors and Contact Geometry	273	(12)
A. Moroianu
Generalized ADHM-Construction on Wolf Spaces	285	(10)
Y. Nagatomo
Sp(1)n-Invariant Quaternionic Kahler Metric	295	(4)
T. Nitta
T. Taniguchi
Brane Solitons and Hypercomplex Structures	299	(14)
G. Papadopoulos
Hypercomplex Geometry	313	(8)
H. Pedersen
Examplex of Hyper-Kahler Connections with Torsion	321	(8)
Y. S. Poon
Theorems of Existence of Local and Global Solutions of PDEs in the Category of Noncommutative Quaternionic Manifolds	329	(10)
A. Prastaro
Optimal Control Problems on the Lie Group SP(1)	339	(10)
M. Puta
A New Weight System on Chord Diagrams via HyperKahler Geometry	349	(16)
J. Sawon
Quaternionic Group Representations and Their Classifications	365	(12)
G. Scolarici
L. Solombrino
Vanishing Theorems for Quaternionic Kahler Manifolds	377	(28)
U. Semmelmann
G. Weingart
Weakening Holonomy	405	(12)
A. Swann
Maxwell's Vision: Electromagnetism with Hamilton's Quaternions	417	(4)
D. Sweetser
G. Sandri
Special Kahler Geometry	421	(18)
A. Van Proeyen
Singularities in HyperKahler Geometry	439
M. Verbitsky