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On properly essential classical conformal diffeomorphism groups

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Abstract

In this article, we prove that various classical conformal diffeomorphism groups, which are known to be essential (Banyaga, J Geom 68(1–2):10–15, 2000), are in fact properly essential. This is a consequence of a local criterion on a conformal diffeomorphism in the form of a cohomological equation. Furthermore, we study the orbit of a tensor field under the action of the conformal diffeomorphism group for these classical conformal structures. On every closed contact manifold, we find conformal contact forms that are not diffeomorphic.

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Authors and Affiliations

  1. Korea Institute for Advanced Study, Seoul, 130-722, Republic of Korea

    Stefan Müller & Peter Spaeth

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  1. Stefan Müller
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  2. Peter Spaeth
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Correspondence to Stefan Müller.

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Müller, S., Spaeth, P. On properly essential classical conformal diffeomorphism groups. Ann Glob Anal Geom 42, 109–119 (2012). https://doi.org/10.1007/s10455-011-9304-y

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  • DOI: https://doi.org/10.1007/s10455-011-9304-y

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