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The aim of this paper is to study three-dimensional conformally flat quasi-para-Sasakian manifolds. First, the necessary and sufficient conditions are provided for three-dimensional quasipara-Sasakian manifolds to be conformally flat. Next, a characterization of three-dimensional conformally flat quasi-para-Sasakian manifold is given. Finally, a method for constructing examples of three-dimensional conformally flat quasi-para-Sasakian manifolds is presented.
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참고문헌 (21)
참고문헌 신청
C L. Bejan / 2014 / Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry / Ann. Global. Anal. Geom 46:117~127
D E. Blair / 1967 / The theory of quasi-Sasakian structures / J. Differential Geom 1:331~345
D E. Blair / 2002 / Progress in Mathematics 203 / Birkhauser
B. Cappelletti-Montano / 2012 / Nullity conditions in paracontact geometry / Diff. Geom. Appl 30:665~693
P. Dacko / 1998 / On conformally flat almost cosymplectic manifolds with Kaehlerian leaves / Rend. Sem. Mat. Univ. Poi. Torino 56:89~103
D E. Blair / 1967 / The theory of quasi-Sasakian structures / J. Differential Geom 1:331~345
D E. Blair / 2002 / Progress in Mathematics 203 / Birkhauser
B. Cappelletti-Montano / 2012 / Nullity conditions in paracontact geometry / Diff. Geom. Appl 30:665~693
P. Dacko / 1998 / On conformally flat almost cosymplectic manifolds with Kaehlerian leaves / Rend. Sem. Mat. Univ. Poi. Torino 56:89~103
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