Complex structures and complex manifolds

2016 ◽  
pp. 411-417
Keyword(s):  
Complex Structures ◽  
Complex Manifolds

scholarly journals Integrable Complex Structures on Twistor Spaces

2019 ◽  
Vol 70 (3) ◽  
pp. 937-963
Author(s):  
Steven Gindi
Keyword(s):  
Twistor Space ◽  
Complex Structures ◽  
Complex Manifolds ◽  
Twistor Spaces

Abstract We introduce integrable complex structures on twistor spaces fibered over complex manifolds. We then show, in particular, that the twistor spaces associated with generalized Kahler, SKT and strong HKT manifolds all naturally admit complex structures. Moreover, in the strong HKT case, we construct a metric and three compatible complex structures on the twistor space that have equal torsions.

Complex structures on products of circle bundles over complex manifolds

2011 ◽  
Vol 349 (7-8) ◽  
pp. 437-439
Author(s):  
Parameswaran Sankaran ◽  
Ajay Singh Thakur
Keyword(s):  
Complex Structures ◽  
Complex Manifolds ◽  
Circle Bundles

ON NORMAL CONTACT PAIRS

2010 ◽  
Vol 21 (06) ◽  
pp. 737-754 ◽  
Author(s):  
GIANLUCA BANDE ◽  
AMINE HADJAR
Keyword(s):  
Symplectic Manifolds ◽  
Contact Pair ◽  
Complex Structures ◽  
Complex Manifolds ◽  
Contact Manifolds ◽  
Normal Contact ◽  
New Methods ◽  
Almost Complex Structures ◽  
Almost Complex

We consider manifolds endowed with a contact pair structure. To such a structure are naturally associated two almost complex structures. If they are both integrable, we call the structure a normal contact pair. We generalize Morimoto's Theorem on the product of almost contact manifolds to flat bundles. We construct some examples on Boothby–Wang fibrations over contact-symplectic manifolds. In particular, these results give new methods to construct complex manifolds.

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