The f-sectional curvature of f-Kaehlerian manifolds
Barbara Opozda (1983)
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Barbara Opozda (1983)
Annales Polonici Mathematici
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Gupta, Ram Shankar, Haider, S.M.Khrusheed, Sharfuddin, A. (2006)
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Ziqi Sun (2003)
Colloquium Mathematicae
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Let M be an n-dimensional complete immersed submanifold with parallel mean curvature vectors in an (n+p)-dimensional Riemannian manifold N of constant curvature c > 0. Denote the square of length and the length of the trace of the second fundamental tensor of M by S and H, respectively. We prove that if S ≤ 1/(n-1) H² + 2c, n ≥ 4, or S ≤ 1/2 H² + min(2,(3p-3)/(2p-3))c, n = 3, then M is umbilical. This result generalizes the...
Kumar, Rakesh, Rani, Rachna, Nagaich, R.K. (2007)
International Journal of Mathematics and Mathematical Sciences
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Endo, Hiroshi (2005)
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Haesen, Stefan, Verpoort, Steven (2010)
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Colloquium Mathematicae
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