scholarly journals CRITICALITY OF CHARACTERISTIC VECTOR FIELDS ON ALMOST COSYMPLECTIC MANIFOLDS

2007 ◽  
Vol 44 (3) ◽  
pp. 605-613 ◽  
Author(s):  
Hong-Kyun Pak ◽  
Tae-Wan Kim
Keyword(s):  
Vector Fields ◽  
Characteristic Vector ◽  
Cosymplectic Manifolds ◽  
Characteristic Vector Fields

scholarly journals Characteristic Lightlike Submanifolds of an IndefiniteS-Manifold

2011 ◽  
Vol 2011 ◽  
pp. 1-11
Author(s):  
Jae Won Lee
Keyword(s):  
Vector Fields ◽  
Space Form ◽  
Characteristic Vector ◽  
Indefinite Metric ◽  
Totally Umbilical ◽  
Screen Distribution ◽  
Lightlike Submanifolds ◽  
Characteristic Vector Fields

We study characteristicr-lightlike submanifoldsMtangent to the characteristic vector fields in an indefinite metricS-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefiniteS-space form under suitable hypotheses: (1)Mis totally umbilical or (2) its screen distributionS(TM)is totally umbilical inM.

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