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Currently displaying 1 – 4 of 4

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New aspects on CR-structures of codimension 2 on hypersurfaces of Sasakian manifolds

Marian-Ioan Munteanu — 2006

Archivum Mathematicum

We introduce a torsion free linear connection on a hypersurface in a Sasakian manifold on which we have defined in natural way a $C R$ -structure of $C R$ -codimension 2. We study the curvature properties of this connection and we give some interesting examples.

Minimal submanifolds in $ℝ^{4}$ with a g.c.K. structure

Marian-Ioan Munteanu — 2008

Czechoslovak Mathematical Journal

In this paper we obtain all invariant, anti-invariant and $C R$ submanifolds in $(ℝ^{4}, g, J)$ endowed with a globally conformal Kähler structure which are minimal and tangent or normal to the Lee vector field of the g.c.K. structure.

Magnetic Curves in a Euclidean Space: One Example, Several Approaches

Marian Ioan Munteanu — 2013

Publications de l'Institut Mathématique

CR-structures on the translated sphere bundle.

Munteanu, Marian-Ioan — 1997

General Mathematics

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