Abstract
In this paper, we use the precise estimate of the lower bound of Levi form of an hermitian manifold to obtain the conditions of Steinness and Liouville theorem.
Keywords
- Riemannian Manifold
- Ricci Curvature
- Complete Riemannian Manifold
- Dual Frame
- Covariant Differentiation
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Research partially supported by Science Foundation of Shanghai Jiao Tong University.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Reference
R.E.Greene and H.Wu, Function theory on manifold which possesses a pole, Lecture Notes in math. N. 699, Springer-verlag.
Kobayashi. S and Nomizu.K., Foundation of Diff. Geo., vol. II, John Wiley and Son Inc., 1969.
J. Cheeger, M. Gromov and H. Taylor, J.Diff. Geo. 17 (1982), 15–53.
27(1984), 631–643.
P.Griffith and J.Harris, Principles of Algebraic Geometry, John Wiley and Son, Inc., 1978, 71–79.
F. Docquier and H. Grauert, Math. Ann. 140(1960), 94–123.
A. Kasue, Osaka J. of Math. 18(1981), 109–114.
S.T. Yau. Amer. J. of Math. 100(1978) 197–203.
24(1981), 945–952.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Chen, Z. (1987). An estimate of the lower bound of levi form and its applications. In: Gu, C., Berger, M., Bryant, R.L. (eds) Differential Geometry and Differential Equations. Lecture Notes in Mathematics, vol 1255. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077677
Download citation
DOI: https://doi.org/10.1007/BFb0077677
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17849-1
Online ISBN: 978-3-540-47883-6
eBook Packages: Springer Book Archive
