
Holomorphic curves in lorentzian cr-manifolds
Publication
, Journal Article
Bryant, RL
Published in: Transactions of the American Mathematical Society
January 1, 1982
A CR-manifold is said to be Lorentzian if its Levi form has one negative eigenvalue and the rest positive. In this case, it is possible that the CR-manifold contains holomorphic curves. In this paper, necessary and sufficient conditions are derived (in terms of the “derivatives” of the CR-structure) in order that holomorphic curves exist. A “flatness” theorem is proven characterizing the real Lorentzian hyperquadric Qs C CP3and examples are given showing that nonflat Lorentzian hyperquadrics can have a richer family of holomorphic curves than the flat ones. © 1982 American Mathematical Society.
Duke Scholars
Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1982
Volume
272
Issue
1
Start / End Page
203 / 221
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bryant, R. L. (1982). Holomorphic curves in lorentzian cr-manifolds. Transactions of the American Mathematical Society, 272(1), 203–221. https://doi.org/10.1090/S0002-9947-1982-0656486-4
Bryant, R. L. “Holomorphic curves in lorentzian cr-manifolds.” Transactions of the American Mathematical Society 272, no. 1 (January 1, 1982): 203–21. https://doi.org/10.1090/S0002-9947-1982-0656486-4.
Bryant RL. Holomorphic curves in lorentzian cr-manifolds. Transactions of the American Mathematical Society. 1982 Jan 1;272(1):203–21.
Bryant, R. L. “Holomorphic curves in lorentzian cr-manifolds.” Transactions of the American Mathematical Society, vol. 272, no. 1, Jan. 1982, pp. 203–21. Scopus, doi:10.1090/S0002-9947-1982-0656486-4.
Bryant RL. Holomorphic curves in lorentzian cr-manifolds. Transactions of the American Mathematical Society. 1982 Jan 1;272(1):203–221.

Published In
Transactions of the American Mathematical Society
DOI
ISSN
0002-9947
Publication Date
January 1, 1982
Volume
272
Issue
1
Start / End Page
203 / 221
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics