Geometric Cauchy problems for spacelike and timelike CMC surfaces in R2,1

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    Abstract

    We discuss recent work of the author and collaborators on generalizations of Björling’s classical problem to the case of constant non-zero mean curvature surfaces in 2+1-dimensional spacetime. The aim is to give an overview, and to point out the similarities and differences between the two cases of timelike and spacelike surfaces. Applications to the construction of CMC surfaces with prescribed singularities are also described.
    Original languageEnglish
    Title of host publicationDifferential Geometry of Submanifolds : Proceedings of RIMS Symposium
    PublisherKyoto University
    Publication date2012
    Pages85-93
    Publication statusPublished - 2012
    EventRIMS Symposium : Differential Geometry of Submanifolds -
    Duration: 27 Jun 201129 Jun 2011

    Conference

    ConferenceRIMS Symposium : Differential Geometry of Submanifolds
    Period27/06/201129/06/2011
    SeriesRIMS Kokyuroku
    Volume1775
    ISSN1880-2818

    Cite this

    Brander, D. (2012). Geometric Cauchy problems for spacelike and timelike CMC surfaces in R2,1. In Differential Geometry of Submanifolds: Proceedings of RIMS Symposium (pp. 85-93). Kyoto University. RIMS Kokyuroku, Vol.. 1775