Skip to main content
Journal cover image

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.
Journal cover image

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