scholarly journals Hessian of the natural Hermitian form on twistor spaces

2017 ◽  
Vol 145 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Guillaume Deschamps ◽  
Noël Le Du ◽  
Christophe Mourougane
Keyword(s):  
Hermitian Form ◽  
Twistor Spaces

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 Twistor spaces of hypercomplex manifolds are balanced

2015 ◽  
Vol 280 ◽  
pp. 282-300 ◽  
Author(s):  
Artour Tomberg
Keyword(s):  
Twistor Spaces
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