Almost co-K\"{a}hler manifolds satisfying some symmetry conditions

Yaning WANG

Makale detayları

Almost co-K\"{a}hler manifolds satisfying some symmetry conditions

Yazarlar:

Yaning WANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.740-752

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746928

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let M2n+1M2n+1M^{2n+1} be an almost co-K\"{a}hler manifold of dimension >3>3>3 with K\"{a}hlerian leaves. In this paper, we first prove that if M2n+1M2n+1M^{2n+1} is locally symmetric, then either it is a co-K\"{a}hler manifold with locally symmetric K\"{a}hlerian leaves, or the Reeb vector field ξξ\xi is harmonic and in this case M2n+1M2n+1M^{2n+1} is non-co-K\"{a}hler. We also prove that any almost co-K\"{a}hler manifold of dimension 333 is ϕϕ\phi-symmetric if and only if it is locally isometric to either a flat Euclidean space R3R3\mathbb{R}^3 or a Riemannian product R×N2(c)R×N2(c)\mathbb{R}\times N^2(c), where N2(c)N2(c)N^2(c) denotes a K\"{a}hler surface of constant curvature c≠0c≠0c\neq0.

Makale detayları

Almost co-K\"{a}hler manifolds satisfying some symmetry conditions

Yazarlar: Yaning WANG

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.740-752

Belge Tipi: Makale

Yayın Tarihi: 7/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746928

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Yaning WANG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 4, pp.740-752

Belge Tipi:

Makale

Yayın Tarihi:

7/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746928

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098