Letters in Mathematical Physics

, Volume 14, Issue 2, pp 177–184 | Cite as

On metrics and super-Riemann surfaces

  • Luke Hodgkin
Article

Abstract

It is shown that any super-Riemann surface M admits a large space of metrics (in a rather basic sense); while if M is of compact genus g type, g>1, M admits a unique metric whose lift to the universal cover is superconformally equivalent to the standard (Baranov-Shvarts) metric on the super-half plane. This explains the relation between the different methods of calculation of the upper Teichmüller space by the author (using arbitrary superconformal transformations) and Crane and Rabin (using only isometries).

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Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • Luke Hodgkin
    • 1
  1. 1.Department of Mathematics, King's CollegeUniversity of LondonLondonU.K.

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