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Zbl 1114.53058
Wu, Bingye
(Wu, Bing Ye)
On the degeneration of harmonic sequences from surfaces into complex Grassmann manifolds. (English)
[J] Arch. Math., Brno 41, No. 3, 273-280 (2005). ISSN 0044-8753; ISSN 1212-5059/e

Let $G(m,n)$ be the Grassmann manifold of $m$-dimensional subspaces in the complex space $\Bbb C^n$ and let $M$ be a connected Riemannian surface. Let $f:M\to G(m,n)$ be a harmonic map. Some sufficient conditions for the harmonic sequence generated by $f$ to have degenerate $\partial '$-transform or $\partial''$-transform are given.
[Josef Janyška (Brno)]

MSC 2000:: *53C43 Differential geometric aspects of harmonic maps
53C42 Immersions (differential geometry)
53B30 Lorentz metrics, indefinite metrics

Keywords: harmonic map; harmonic sequence; genus; generalized Frenet formulae

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