Schwarz lemma and Hartogs phenomenon in complex Finsler manifold

Bin Shen , Yibing Shen

Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (3) : 455 -460.

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Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (3) : 455 -460. DOI: 10.1007/s11401-013-0769-9
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Schwarz lemma and Hartogs phenomenon in complex Finsler manifold

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Abstract

The authors prove the Schwarz lemma from a compact complex Finsler manifold to another complex Finsler manifold and any complete complex Finsler manifold with a non-positive holomorphic curvature obeying the Hartogs phenomenon.

Keywords

Complex Finsler manifold / Schwarz lemma / Hartogs phenomenon

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Bin Shen, Yibing Shen. Schwarz lemma and Hartogs phenomenon in complex Finsler manifold. Chinese Annals of Mathematics, Series B, 2013, 34(3): 455-460 DOI:10.1007/s11401-013-0769-9

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References

[1]

Ahlfors L V. Complex Analysis, 1979, Auckland: McGraw-Hill

[2]

Yau S T. A general Schwarz lemma for Kahler manifolds. Amer. J. Math., 1978, 100(1): 197-203

[3]

Griffiths P, Harris J. Principles of Algebraic Geometry, 1994, New York: Wiley-Interscience

[4]

Griffiths P. Two theorems on extension of holomorphic mappings. Invent. Math., 1971, 14: 27-62

[5]

Shiffman B. Extension of holomorphic maps into Hermitian manifolds. Math. Ann., 1971, 194: 249-258

[6]

Abate M, Patrizio G. Finsler Metric-A Global Approach, 1994, Berlin, Heidelberg: Springer-Verlag

[7]

Lempert L. A metrique de Kobayashi et la representation des domains sur la boule. Bull. Soc. Math. France, 1981, 109: 427-474

[8]

Boyer, C. P. and Galicki, K., Sasakian geometry, holonomy and supersymmetry, to appear. arXiv: math/0703231

[9]

Boyer C P, Galicki K. On Sasakian-Einstein geometry. Intenat. J. Math., 2000, 11: 873-909

[10]

Zheng F. Complex Differential Geometry, 2000, Providence, RI: A. M. S.

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