Pseudo-symmetric contact 3-manifolds III

• Autorzy: Jong Taek Cho , Jun-ichi Inoguchi , Ji-Eun Lee
• Języki publikacji: EN

Abstrakty

EN

A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.

Kategorie tematyczne

• 53B20: Local Riemannian geometry
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C30: Homogeneous manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 1
• Strony: 77-98

Daty

wydano

2009

Twórcy

autor

Jong Taek Cho

• Department of Mathematics, Chonnam National University, CNU, The Institute of Basic Science, Kwangju, 500-757, Korea

autor

Jun-ichi Inoguchi

• Department of Mathematics Education, Utsunomiya University, Utsunomiya, 321-8505, Japan

autor

Ji-Eun Lee

• National Institute for Mathematical Sciences, 385-16, Doryong-dong, Yuseong-gu, Daejeon, 305-340, Korea

Identyfikatory

DOI

10.4064/cm114-1-7