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Totally real minimal submanifolds in a quaternion projective space

100%

Liu X.

Annales Polonici Mathematici

1998

tom 69

nr 1

31-36

We prove some pinching theorems with respect to the scalar curvature of 4-dimensional conformally flat (concircularly flat, quasi-conformally flat) totally real minimal submanifolds in QP⁴(c).

Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions

63%

Wang Y., Liu X.

Annales Polonici Mathematici

2014

tom 112

nr 1

37-46

We consider an almost Kenmotsu manifold $M^{2n+1}$ with the characteristic vector field ξ belonging to the (k,μ)'-nullity distribution and h' ≠ 0 and we prove that $M^{2n+1}$ is locally isometric to the Riemannian product of an (n+1)-dimensional manifold of constant sectional curvature -4 and a flat n-dimensional manifold, provided that $M^{2n+1}$ is ξ-Riemannian-semisymmetric. Moreover, if $M^{2n+1}$ is a ξ-Riemannian-semisymmetric almost Kenmotsu manifold such that ξ belongs to the (k,μ)-nullity distribution, we prove that $M^{2n+1}$ is of constant sectional curvature -1.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Liu X.

1 Wang Y.

1 2014

1 1998

Wyniki wyszukiwania

Totally real minimal submanifolds in a quaternion projective space

Riemannian semisymmetric almost Kenmotsu manifolds and nullity distributions