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We define a class of semi-symmetric metric connection on a Riemannian manifold for which the conformal, the projective, the concircular, the quasi conformal and the $m$-projective curvature tensors are invariant. We also study the properties of semisymmetric, Ricci semisymmetric and Eisenhart problems for solving second order parallel symmetric and skew-symmetric tensors on the Riemannian manifolds equipped with a semi-symmetric metric $P$-connection.
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참고문헌 (35)
참고문헌 신청
B. Barua / 1985 / Some properties of semisymmetric metric connection in a Riemannian manifold / Indian J. Pure Appl. Math 16(7):736~740
C. Calin / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Sci. Soc 33(3):361~368
S. K. Chaubey / 2019 / Certain results on N(k)-quasi Einstein manifolds / Afrika Matematika 30(1-2):113~127
S. K. Chaubey / 2010 / Semi-symmetric metric T-connection in an almost contact metric manifold / Int. Math. Forum 5(21-24):1121~1129
S. K. Chaubey / 2010 / On the m-projective curvature tensor of a Kenmotsu manifold / Differ. Geom. Dyn. Syst 12:52~60
C. Calin / 2010 / From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds / Bull. Malays. Math. Sci. Soc 33(3):361~368
S. K. Chaubey / 2019 / Certain results on N(k)-quasi Einstein manifolds / Afrika Matematika 30(1-2):113~127
S. K. Chaubey / 2010 / Semi-symmetric metric T-connection in an almost contact metric manifold / Int. Math. Forum 5(21-24):1121~1129
S. K. Chaubey / 2010 / On the m-projective curvature tensor of a Kenmotsu manifold / Differ. Geom. Dyn. Syst 12:52~60
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