Almost α-Cosymplectic (κ,μ,ν)-Spaces

Details Almost α-Cosymplectic (κ,μ,ν)-Spaces Almost α-Cosymplectic (κ,μ,ν)-Spaces

2010-07-04

arxiv.org/abs/1007.0527v1

Mathematics

Differential Geometry

Scientific paper

Main interest of the present paper is to investigate the almost {\alpha}-cosymplectic manifolds for which the characteristic vector field of the almost {\alpha}-cosymplectic structure satisfies a specific ({\kappa},{\mu},{\nu})-nullity condition. This condition is invariant under D-homothetic deformation of the almost cosymplectic ({\kappa},{\mu},{\nu})-spaces in all dimensions. Also, we prove that for dimensions greater than three, {\kappa},{\mu},{\nu} are not necessary constant smooth functions such that df^{\eta}=0. Then the existence of the three-dimensional case of almost cosymplectic ({\kappa},{\mu},{\nu})-spaces are studied. Finally, we construct an appropriate example of such manifolds.

Affiliated with

Also associated with

No associations

Rating

Almost α-Cosymplectic (κ,μ,ν)-Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Almost α-Cosymplectic (κ,μ,ν)-Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost α-Cosymplectic (κ,μ,ν)-Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442749