Dynamics Equations with Almost Complex Structures on Contact 5-Manifolds

2014 ◽  
Vol 1 (3) ◽  
pp. 48-58 ◽  
Author(s):  
Zeki Kasap ◽  
Keyword(s):  
Complex Structures ◽  
Almost Complex Structures ◽  
Almost Complex

scholarly journals Nonexistence of almost complex structures on the product S2m×M

2016 ◽  
Vol 199 ◽  
pp. 102-110 ◽  
Author(s):  
Prateep Chakraborty ◽  
Ajay Singh Thakur
Keyword(s):  
Complex Structures ◽  
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).

A New Class of Almost Complex Structures

2001 ◽  
pp. 602-618
Author(s):  
CHUAN-CHIH HSIUNG ◽  
BONNIE XIONG
Keyword(s):  
Complex Structures ◽  
New Class ◽  
Almost Complex Structures ◽  
Almost Complex

scholarly journals BRANCHED SHADOWS AND COMPLEX STRUCTURES ON 4-MANIFOLDS

2008 ◽  
Vol 17 (11) ◽  
pp. 1429-1454 ◽  
Author(s):  
FRANCESCO COSTANTINO
Keyword(s):  
Complex Structure ◽  
Complex Structures ◽  
Almost Complex Structure ◽  
Homotopy Classes ◽  
Almost Complex Structures ◽  
Almost Complex

We define and study branched shadows of 4-manifolds as a combination of branched spines of 3-manifolds and of Turaev's shadows. We use these objects to combinatorially represent 4-manifolds equipped with Spinc-structures and homotopy classes of almost complex structures. We then use branched shadows to study complex 4-manifolds and prove that each almost complex structure on a 4-dimensional handlebody is homotopic to a complex one.

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