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In this paper, we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifold. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions in the cases where the characteristic vector field is vertical or horizontal.
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참고문헌 (31)
참고문헌 신청
A. Gray / 1967 / Pseudo-Riemannian almost product manifolds and submersions / J. Math. Mech 16 : 715 ~ 737
B. H. Kim / 1990 / Fibred Riemannian spaces with quasi Sasakian structure / Hiroshima Math. J 20 (3) : 477 ~ 513
B. O’Neill / 1966 / The fundamental equations of a submersion / Michigan Math. J 13 : 459 ~ 469
B. O’Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Sahin / 2010 / Anti-invariant Riemannian submersions from almost Hermitian manifolds / Cent. Eur. J. Math 8 (3) : 437 ~ 447
B. H. Kim / 1990 / Fibred Riemannian spaces with quasi Sasakian structure / Hiroshima Math. J 20 (3) : 477 ~ 513
B. O’Neill / 1966 / The fundamental equations of a submersion / Michigan Math. J 13 : 459 ~ 469
B. O’Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Sahin / 2010 / Anti-invariant Riemannian submersions from almost Hermitian manifolds / Cent. Eur. J. Math 8 (3) : 437 ~ 447
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