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The aim of the present paper is to study the Eisenhart problems of finding the properties of second order parallel tensors (symmetric and skew-symmetric) on a $3$-dimensional $LCS$-manifold. We also investigate the properties of Ricci solitons, Ricci semisymmetric, locally $\phi$-symmetric, $\eta$-parallel Ricci tensor and a non-null concircular vector field on $(LCS)_3$-manifolds.
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참고문헌 (49)
참고문헌 신청
C. L. Bejan / 2011 / Ricci solitons in manifolds with quasi-constant cur-vature / Publ. Math. Debrecen 78(1):235~243
C. L. Bejan / 2017 / Parallel second-order tensors on Vaisman manifolds / Int. J. Geom. Methods Mod. Phys 14(2):1750023
S. Brendle / 2011 / Curvature, sphere theorems, and the Ricci flow / Bull. Amer. Math. Soc. (N.S.) 48(1):1~32
C. Calin / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Sci. Soc. (2) 33(3):361~368
M. C. Chaki / 1988 / On pseudo Ricci symmetric manifolds / Bulgar. J. Phys 15(6):526~531
C. L. Bejan / 2017 / Parallel second-order tensors on Vaisman manifolds / Int. J. Geom. Methods Mod. Phys 14(2):1750023
S. Brendle / 2011 / Curvature, sphere theorems, and the Ricci flow / Bull. Amer. Math. Soc. (N.S.) 48(1):1~32
C. Calin / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Sci. Soc. (2) 33(3):361~368
M. C. Chaki / 1988 / On pseudo Ricci symmetric manifolds / Bulgar. J. Phys 15(6):526~531
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