Harmonic almost-complex structures on twistor spaces

2002 ◽  
Vol 131 (1) ◽  
pp. 319-332 ◽  
Author(s):  
Johann Davidov ◽  
Oleg Muškarov
Keyword(s):  
Complex Structures ◽  
Twistor Spaces ◽  
Almost Complex Structures ◽  
Almost Complex

scholarly journals Families of(1,2)-symplectic metrics on full flag manifolds

2002 ◽  
Vol 29 (11) ◽  
pp. 651-664 ◽  
Author(s):  
Marlio Paredes
Keyword(s):  
Flag Manifolds ◽  
Invariant Metrics ◽  
Complex Structures ◽  
Symplectic Invariant ◽  
Almost Complex Structures ◽  
Almost Complex ◽  
Complex Flag ◽  
Complex Flag Manifolds

We obtain new families of(1,2)-symplectic invariant metrics on the full complex flag manifoldsF(n). Forn≥5, we characterizen−3differentn-dimensional families of(1,2)-symplectic invariant metrics onF(n). Each of these families corresponds to a different class of nonintegrable invariant almost complex structures onF(n).

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