Rigid Embeddings of Sasakian Hyperquadrics in Cn + 1

Vladimir Ezhov, Martin Kolář, Gerd Schmalz

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We give a classification of Sasakian manifolds that are CR-equivalent to hyperquadrics by describing their exact parameter space. For “ half” of the parameter space, we find an explicit representation by defining equations. This problem is related to the problem of finding pseudo-Kähler potentials with prescribed Ricci curvature.

    Original languageEnglish
    Pages (from-to)2185-2205
    Number of pages21
    JournalJournal of Geometric Analysis
    Volume28
    Issue number3
    DOIs
    Publication statusPublished - Jul 2018

    Keywords

    • Hyperquadrics
    • Kähler potential
    • Normal form
    • Ricci curvature
    • Sasakian manifolds

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