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Boundary Value Problems for Metrics on 3-manifolds

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Metric and Differential Geometry

Part of the book series: Progress in Mathematics ((PM,volume 297))

Abstract

We discuss the problem of prescribing the mean curvature and conformal class as boundary data for Einstein metrics on 3-manifolds, in the context of natural elliptic boundary value problems for Riemannian metrics.

Mathematics Subject Classification (2000). Primary 53C42; Secondary 35J57.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, Stony Brook University, Stony Brook, NY, 11794-3651, USA

    Michael T. Anderson

Authors
  1. Michael T. Anderson
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Correspondence to Michael T. Anderson .

Editor information

Editors and Affiliations

  1. , Department of Mathematics, University of California, South Hall 6511, Santa Barbara, 93106, New Jersey, USA

    Xianzhe Dai

  2. , Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, 08854, New Jersey, USA

    Xiaochun Rong

Additional information

Dedicated to Jeff Cheeger for his 65th birthday

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Anderson, M.T. (2012). Boundary Value Problems for Metrics on 3-manifolds. In: Dai, X., Rong, X. (eds) Metric and Differential Geometry. Progress in Mathematics, vol 297. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0257-4_1

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