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On para-Nordenian structures

Arif A. Salimov, Filiz Agca (2010)

Annales Polonici Mathematici

The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.

On projectable objects on fibred manifolds

Vasile Cruceanu, Marcela Popescu, Paul Popescu (2001)

Archivum Mathematicum

The aim of this paper is to study the projectable and N -projectable objects (tensors, derivations and linear connections) on the total space E of a fibred manifold ξ , where N is a normalization of ξ .

On real Kähler Euclidean submanifolds with non-negative Ricci curvature

Luis A. Florit, Wing San Hui, F. Zheng (2005)

Journal of the European Mathematical Society

We show that any real Kähler Euclidean submanifold f : M 2 n 2 n + p with either non-negative Ricci curvature or non-negative holomorphic sectional curvature has index of relative nullity greater than or equal to 2 n 2 p . Moreover, if equality holds everywhere, then the submanifold must be a product of Euclidean hypersurfaces almost everywhere, and the splitting is global provided that M 2 n is complete. In particular, we conclude that the only real Kähler submanifolds M 2 n in 3 n that have either positive Ricci curvature or...

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