Curvature and holomorphic mappings of complete Kähler manifolds

Peter Li; Shing-Tung Yau

Compositio Mathematica (1990)

  • Volume: 73, Issue: 2, page 125-144
  • ISSN: 0010-437X

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Li, Peter, and Yau, Shing-Tung. "Curvature and holomorphic mappings of complete Kähler manifolds." Compositio Mathematica 73.2 (1990): 125-144. <http://eudml.org/doc/89999>.

@article{Li1990,
author = {Li, Peter, Yau, Shing-Tung},
journal = {Compositio Mathematica},
keywords = {Kählerian manifolds; differential inequality; holomorphic mapping; pluriharmonic functions},
language = {eng},
number = {2},
pages = {125-144},
publisher = {Kluwer Academic Publishers},
title = {Curvature and holomorphic mappings of complete Kähler manifolds},
url = {http://eudml.org/doc/89999},
volume = {73},
year = {1990},
}

TY - JOUR
AU - Li, Peter
AU - Yau, Shing-Tung
TI - Curvature and holomorphic mappings of complete Kähler manifolds
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 73
IS - 2
SP - 125
EP - 144
LA - eng
KW - Kählerian manifolds; differential inequality; holomorphic mapping; pluriharmonic functions
UR - http://eudml.org/doc/89999
ER -

References

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  1. [C] S.S. Chern, On holomorphic mappings of Hermitian manifolds of the same dimension, Proc. Symp. Pure Math. 11 (1968), 157-170. Zbl0184.31202MR234397
  2. [C-C-L] C.H. Chen, S.Y. Cheng, and K.H. Look, On the Schwarz lemma for complete Kähler manifolds, Scientia Sinica22 (1979), 1238-1247. Zbl0432.53010MR557331
  3. [G] S. Gallot, Isoperimetric inequalities based on integral norms of Ricci curvature, preprint 1988. Zbl0665.53041
  4. [H] A. Huber, On subharmonic functions and differential geometry in the large, Commentarii Math. Helv. 32 (1957), 13-72. Zbl0080.15001MR94452
  5. [L] P. Li, On the structure of complete Kähler manifolds with nonnegative curvature near infinity, to appear in Invent. Math. Zbl0695.53052MR1032881
  6. [L-T 1] P. Li and L.F. Tam, Positive harmonic functions on complete manifolds with non-negative curvature outside a compact set, Annals Math. 125 (1987), 171-207. Zbl0622.58001MR873381
  7. [L-T 2] P. Li and L.F. Tam, Symmetric Green's functions on complete manifolds, Amer. J. Math. 109 (1987), 1129-1154. Zbl0634.58033MR919006
  8. [Lu] Y.C. Lu, Holomorphic mappings of complex manifolds, J. Diff. Geom.2 (1968), 299-312. Zbl0167.36602MR250243
  9. [Y] S.T. Yau, Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry, Indiana Math. J.25 (1976), 659-670. Zbl0335.53041MR417452

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