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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The Schwarzian derivative for maps between manifolds with complex projective connections
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by Robert Molzon and Karen Pinney Mortensen PDF
Trans. Amer. Math. Soc. 348 (1996), 3015-3036 Request permission

Abstract:

In this paper we define, in two equivalent ways, the Schwarzian derivative of a map between complex manifolds equipped with complex projective connections. Also, a new, coordinate-free definition of complex projective connections is given. We show how the Schwarzian derivative is related to the projective structure of the manifolds, to projective linear transformations, and to complex geodesics.
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Additional Information
  • Robert Molzon
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
  • Email: molzon@ms.uky.edu
  • Karen Pinney Mortensen
  • Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
  • Email: pinney@ms.uky.edu
  • Received by editor(s): August 15, 1994
  • Additional Notes: The second author was partially supported by NSF grant DMS-9102976.
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 3015-3036
  • MSC (1991): Primary 53B10, 32H02
  • DOI: https://doi.org/10.1090/S0002-9947-96-01590-5
  • MathSciNet review: 1348154