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arXiv · 1003.1583

Splitting submanifolds of families of fake elliptic curves

Priska Jahnke·Ivo Radloff
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Abstract

Let N a compact complex submanifold of a compact complex manifold M. We say N splits in M, if the holomorphic tangent bundle sequence splits holomorphically. By a result of Mok a splitting submanifold of a Kaehler Einstein manifold with a projective structure is totally geodesic. The classification of all splitting submanifolds of families of fake elliptic curves given here completes the case of threefolds M with a projective structure by a previous result of the authors.

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Priska Jahnke, Ivo Radloff. 2010-03-08. Splitting submanifolds of families of fake elliptic curves. https://doi.org/10.1007/s11425-011-4183-z

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