scholarly journals Some Properties on Divine Kaehlerian Manifold

2021 ◽  
Vol 16 (1) ◽  
Author(s):  
Kailash Chandra Patwel
Keyword(s):  
Present Article ◽  
Fibonacci Sequence ◽  
Complex Structures ◽  
Fibonacci Series ◽  
Almost Complex Structures ◽  
Almost Complex ◽  
Eigen Values ◽  
The Relationship ◽  
Kaehlerian Manifold ◽  
Sequence Trace

Fibonacci sequence and the divine ratio are intimately inter-connected. In the Fibonacci sequence each number is the sum of previous two consecutive numbers and the ratio of any two consecutive numbers reflects the approximate value of divine ratio. The relationship between divine ratio and Fibonacci series is well express in divergent faunal anatomy and floral as well as their morphology. The present article is intended to study the properties of divine Kaehlerian manifold in terms of Fibonacci sequence, trace & eigen values of divine structure including its almost complex structures. Some properties of induced structures, theorems and propositions related to it have also been studied.

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).

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.

Sign in / Sign up

Export Citation Format

Share Document