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| HARMONIC MAPS AND FUNDAMENTAL GROUPS OF NONPOSITIVELY CURVEDRIEMANNIAN MANIFOLDS |
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Citation： |
Shen Chunli,Zhou Qing.HARMONIC MAPS AND FUNDAMENTAL GROUPS OF NONPOSITIVELY CURVEDRIEMANNIAN MANIFOLDS[J].Chinese Annals of Mathematics B,1996,17(4):491~496 |
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Net amount： 684 |
Authors： |
Shen Chunli; Zhou Qing |
Foundation： |
the National Natural Science Foundation of China, FEYUT of SEDC of China and HYTEF |
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| Abstract： |
Using the theory of harmonic maps the authors discuss the
properties of the fundamental group of a complete nonpositively
curved Riemannian manifold, and prove that the finitely generated virtual solvable subgroup of fundamental group of a complete nonpositively curved Riemannian manifold either is a peripheral subgroup of fundamental group or can be realized by an immersed totall geodesic closed flat manifold. It generalizes some results of Gromoll-Wolf, Lawson-Yan and Schoen-Yau. |
Keywords： |
Harmonic map, Riemannian manifold, Fundamental group |
Classification： |
58E20, 58D17 |
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