scholarly journals Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces

2004 ◽  
Vol 2004 (567) ◽  
Author(s):  
Stefan Ivanov ◽  
Ivan Minchev
Keyword(s):  
Twistor Spaces ◽  
Hyperkähler Manifolds ◽  
Quaternionic Kähler

scholarly journals QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE

1999 ◽  
Vol 10 (05) ◽  
pp. 541-570 ◽  
Author(s):  
ANDREW DANCER ◽  
ANDREW SWANN
Keyword(s):  
Simple Group ◽  
Lie Algebras ◽  
Complex Structure ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Cohomogeneity One ◽  
Cohomogeneity One Action ◽  
Hyperkähler Manifolds ◽  
Adjoint Orbits ◽  
Quaternionic Kähler

Classification results are given for (i) compact quaternionic Kähler manifolds with a cohomogeneity-one action of a semi-simple group, (ii) certain complete hyperKähler manifolds with a cohomogeneity-two action of a semi-simple group preserving each complex structure, (iii) compact 3-Sasakian manifolds which are cohomogeneity one with respect to a group of 3-Sasakian symmetries. Information is also obtained about non-compact quaternionic Kähler manifolds of cohomogeneity one and the cohomogeneity of adjoint orbits in complex semi-simple Lie algebras.

scholarly journals Properties of Hyperkähler Manifolds and Their Twistor Spaces

2009 ◽  
Vol 293 (1) ◽  
pp. 257-278 ◽  
Author(s):  
Ulf Lindström ◽  
Martin Roček
Keyword(s):  
Twistor Spaces ◽  
Hyperkähler Manifolds

scholarly journals Generalized twistor spaces for hyperkähler manifolds

2014 ◽  
Vol 91 (2) ◽  
pp. 321-342 ◽  
Author(s):  
Rebecca Glover ◽  
Justin Sawon
Keyword(s):  
Twistor Spaces ◽  
Hyperkähler Manifolds

scholarly journals Generalized almost even-Clifford manifolds and their twistor spaces

2021 ◽  
Vol 8 (1) ◽  
pp. 96-124
Author(s):  
Luis Fernando Hernández-Moguel ◽  
Rafael Herrera
Keyword(s):  
Twistor Space ◽  
Complex Structure ◽  
Twistor Spaces ◽  
Recent Interest ◽  
Generalized Complex Structure ◽  
Generalized Complex ◽  
Space Construction ◽  
Clifford Structures

Abstract Motivated by the recent interest in even-Clifford structures and in generalized complex and quaternionic geometries, we introduce the notion of generalized almost even-Clifford structure. We generalize the Arizmendi-Hadfield twistor space construction on even-Clifford manifolds to this setting and show that such a twistor space admits a generalized complex structure under certain conditions.

scholarly journals Contraction centers in families of hyperkähler manifolds

2021 ◽  
Vol 27 (4) ◽  
Author(s):  
Ekaterina Amerik ◽  
Misha Verbitsky
Keyword(s):  
Hyperkähler Manifolds
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