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Affine connections on almost para-cosymplectic manifolds

Adara M. Blaga — 2011

Czechoslovak Mathematical Journal

Identities for the curvature tensor of the Levi-Cività connection on an almost para-cosymplectic manifold are proved. Elements of harmonic theory for almost product structures are given and a Bochner-type formula for the leaves of the canonical foliation is established.

A short note on f -biharmonic hypersurfaces

Selcen Y. PerktaşBilal E. AcetAdara M. Blaga — 2020

Commentationes Mathematicae Universitatis Carolinae

In the present paper we give some properties of f -biharmonic hypersurfaces in real space forms. By using the f -biharmonic equation for a hypersurface of a Riemannian manifold, we characterize the f -biharmonicity of constant mean curvature and totally umbilical hypersurfaces in a Riemannian manifold and, in particular, in a real space form. As an example, we consider f -biharmonic vertical cylinders in S 2 × .

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