Electronic Resource
Springer
Mathematische Zeitschrift
235 (2000), S. 251-257
ISSN:
0025-5874
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. Let M be a simply connected complex submanifold of $\mathbb{C}^N$ . We prove that M is irreducible, up a totally geodesic factor, if and only if the normal holonomy group acts irreducibly. This is an extrinsic analogue of the well-known De Rham decomposition theorem for a complex manifold. Our result is not valid in the real context, as it is shown by many counter-examples.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002090000139
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