## Minimal submanifolds in $$\mathbb R^4$$ with a g.c. K. structure.(English)Zbl 1174.53011

Summary: In this paper we obtain all invariant, anti-invariant and $$CR$$ submanifolds in  $$(\mathbb R^4,g,J)$$ 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.

### MSC:

 53B25 Local submanifolds 53B35 Local differential geometry of Hermitian and Kählerian structures 53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
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### References:

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