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Complete real Kähler Euclidean hypersurfaces are cylinders

Luis A. Florit, Fangyang Zheng (2007)

Annales de l’institut Fourier

In this note we show that any complete Kähler (immersed) Euclidean hypersurface M 2 n 2 n + 1 must be the product of a surface in 3 with an Euclidean factor n - 1 2 n - 2 .

Complex surfaces in ℂ⁴ with recurrent shape operators

Paweł Witowicz (2007)

Annales Polonici Mathematici

We study complex affine surfaces in ℂ⁴ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.

Concentrated monotone measures with non-unique tangential behavior in 3

Robert Černý, Jan Kolář, Mirko Rokyta (2011)

Czechoslovak Mathematical Journal

We show that for every ε > 0 there is a set A 3 such that 1 A is a monotone measure, the corresponding tangent measures at the origin are non-conical and non-unique and 1 A has the 1 -dimensional density between 1 and 2 + ε everywhere in the support.

Conformal curvature for the normal bundle of a conformal foliation

Angel Montesinos (1982)

Annales de l'institut Fourier

It is proved that the normal bundle of a distribution 𝒱 on a riemannian manifold admits a conformal curvature C if and only if 𝒱 is a conformal foliation. Then is conformally flat if and only if C vanishes. Also, the Pontrjagin classes of can be expressed in terms of C .

Currently displaying 61 – 80 of 161