# Generalised CR-submanifolds of a LP-sasakian manifolds

##### Citations

3 citations

##### References

206 citations

### "Generalised CR-submanifolds of a LP..." refers methods in this paper

...The study of CR-submanifolds of a Kaehler manifold was initiated by Bejancu [1]....

[...]

139 citations

### "Generalised CR-submanifolds of a LP..." refers background in this paper

...Then such a structure (φ, ξ, η, 1) is termed as Lorentzian almost paracontact structure and the manifold with the structure (φ, ξ, η, 1) is called a Lorentzian almost paracontact manifold [9]....

[...]

...In the Lorentzian almost paracontact manifold M, the following relations hold [9]:...

[...]

...In an LP-Sasakian manifold M with the structure (φ, ξ, η, 1), it is easily seen that [9] ∇Xξ = φX, (6) (∇Xη)(Y) = 1(φX,Y) = (∇Yη)(X)....

[...]

...Matsumoto [9] introduced the notion of LP-Sasakian manifolds or in short LP-Sasakian manifolds....

[...]

...A Lorentzian almost paracontact manifold M endowed with the structure (φ, ξ, η, 1) is called an LPSasakian manifold [9] if (∇Xφ)Y = 1(φX, φY)ξ + η(Y)φ2X, (5) where ∇ denotes the operator of covariant differentiation with respect to the Lorentzian metric 1....

[...]

29 citations

### "Generalised CR-submanifolds of a LP..." refers methods in this paper

...An example of a five dimensional LP-Sasakian manifold was given by Matsumoto, Mihai and Rosaca in [10]....

[...]

22 citations

### "Generalised CR-submanifolds of a LP..." refers background in this paper

...Prasad [4], Prasad and Ojha [15] studied submanifolds of a LP-Sasakian manifolds....

[...]

16 citations

### "Generalised CR-submanifolds of a LP..." refers background in this paper

...LP-Sasakian manifolds have been studied by several authors such as ([11], [6], [2]) and many others....

[...]