Generalized Big Picard Theorem for pseudo-holomorphic maps

Jae Cheon Joo

doi:10.1016/j.jmaa.2005.11.044

Generalized Big Picard Theorem for pseudo-holomorphic maps

Jae Cheon Joo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We show how an appropriate choice for affine connections in the target manifold allows the pseudo-holomorphic curves to be realized as harmonic maps. As an application, we present a generalized Big Picard Theorem for pseudo-holomorphic maps between manifolds with almost complex structures.

Original language	English
Pages (from-to)	1333-1347
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	323
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.11.044
State	Published - 15 Nov 2006
Externally published	Yes

Bibliographical note

Funding Information:
✩ Research partially supported by the Grant KRF 2002-070-C00005 (PI: K.T. Kim) of The Korea Research Foundation. E-mail address: [email protected].

Keywords

Almost complex manifold
Pseudo-holomorphic mapping
Singularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2005.11.044

Cite this

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title = "Generalized Big Picard Theorem for pseudo-holomorphic maps",

abstract = "We show how an appropriate choice for affine connections in the target manifold allows the pseudo-holomorphic curves to be realized as harmonic maps. As an application, we present a generalized Big Picard Theorem for pseudo-holomorphic maps between manifolds with almost complex structures.",

keywords = "Almost complex manifold, Pseudo-holomorphic mapping, Singularity",

author = "Joo, \{Jae Cheon\}",

note = "Funding Information: ✩ Research partially supported by the Grant KRF 2002-070-C00005 (PI: K.T. Kim) of The Korea Research Foundation. E-mail address: [email protected].",

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doi = "10.1016/j.jmaa.2005.11.044",

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AU - Joo, Jae Cheon

N1 - Funding Information: ✩ Research partially supported by the Grant KRF 2002-070-C00005 (PI: K.T. Kim) of The Korea Research Foundation. E-mail address: [email protected].

PY - 2006/11/15

Y1 - 2006/11/15

N2 - We show how an appropriate choice for affine connections in the target manifold allows the pseudo-holomorphic curves to be realized as harmonic maps. As an application, we present a generalized Big Picard Theorem for pseudo-holomorphic maps between manifolds with almost complex structures.

AB - We show how an appropriate choice for affine connections in the target manifold allows the pseudo-holomorphic curves to be realized as harmonic maps. As an application, we present a generalized Big Picard Theorem for pseudo-holomorphic maps between manifolds with almost complex structures.

KW - Almost complex manifold

KW - Pseudo-holomorphic mapping

KW - Singularity

UR - https://www.scopus.com/pages/publications/33750620922

U2 - 10.1016/j.jmaa.2005.11.044

DO - 10.1016/j.jmaa.2005.11.044

M3 - Article

AN - SCOPUS:33750620922

SN - 0022-247X

VL - 323

SP - 1333

EP - 1347

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Generalized Big Picard Theorem for pseudo-holomorphic maps

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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