Holomorphically projective mappings of special Kähler manifolds

Author(s):  
V. Kiosak ◽  
A. Savchenko ◽  
T. Shevchenko
2005 ◽  
Vol 605 (1-2) ◽  
pp. 181-184 ◽  
Author(s):  
Stefano Bellucci ◽  
Sergey Krivonos ◽  
Armen Nersessian

Author(s):  
Mauro Mantegazza

AbstractIn this paper, we present an intrinsic characterisation of projective special Kähler manifolds in terms of a symmetric tensor satisfying certain differential and algebraic conditions. We show that this tensor vanishes precisely when the structure is locally isomorphic to a standard projective special Kähler structure on $$\mathrm {SU}(n,1)/\mathrm {S}(\mathrm {U}(n)\mathrm {U}(1))$$ SU ( n , 1 ) / S ( U ( n ) U ( 1 ) ) . We use this characterisation to classify 4-dimensional projective special Kähler Lie groups.


2020 ◽  
Vol 72 (1) ◽  
pp. 127-147
Author(s):  
Carolyn Gordon ◽  
Eran Makover ◽  
Bjoern Muetzel ◽  
David Webb

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