1Department of Mathematics Chonnam National University CNU, The Institute of Basic Science Kwangju, 500–757, Korea 2Department of Mathematics Education Utsunomiya University Utsunomiya, 321-8505, Japan 3National Institute for Mathematical Sciences 385-16, Doryong-dong, Yuseong-gu Daejeon, 305-340, Korea
Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 77-98
A trans-Sasakian $3$-manifold is pseudo-symmetric if and only if it is $\eta $-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.
Keywords:
trans sasakian manifold pseudo symmetric only eta einstein particular quasi sasakian manifold pseudo symmetric only cok hler manifold homothetic sasakian manifold examples non sasakian pseudo symmetric contact manifolds exhibited
Affiliations des auteurs :
Jong Taek Cho
1
;
Jun-ichi Inoguchi
2
;
Ji-Eun Lee
3
1
Department of Mathematics Chonnam National University CNU, The Institute of Basic Science Kwangju, 500–757, Korea
2
Department of Mathematics Education Utsunomiya University Utsunomiya, 321-8505, Japan
3
National Institute for Mathematical Sciences 385-16, Doryong-dong, Yuseong-gu Daejeon, 305-340, Korea
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Jong Taek Cho; Jun-ichi Inoguchi; Ji-Eun Lee. Pseudo-symmetric contact 3-manifolds III. Colloquium Mathematicum, Tome 114 (2009) no. 1, pp. 77-98. doi: 10.4064/cm114-1-7
