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Holonomy Classification of Lorentz-Kähler Manifolds

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F19%3A50014876" target="_blank" >RIV/62690094:18470/19:50014876 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/article/10.1007%2Fs12220-018-0027-1#citeas" target="_blank" >https://link.springer.com/article/10.1007%2Fs12220-018-0027-1#citeas</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s12220-018-0027-1" target="_blank" >10.1007/s12220-018-0027-1</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Holonomy Classification of Lorentz-Kähler Manifolds

  • Original language description

    The classification problem for holonomy of pseudo-Riemannian manifolds is actual and open. In the present paper, holonomy algebras of Lorentz-Kähler manifolds are classified. A simple construction of a metric for each holonomy algebra is given. Complex Walker coordinates are introduced and described using the potential. Complex pp-waves are characterized in terms of the curvature, holonomy, and the potential. Classification of Lorentz-Kähler symmetric spaces is reviewed.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-00496S" target="_blank" >GA18-00496S: Singular spaces from special holonomy and foliations</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Geometric Analysis

  • ISSN

    1050-6926

  • e-ISSN

  • Volume of the periodical

    29

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    34

  • Pages from-to

    1075-1108

  • UT code for WoS article

    000473593300004

  • EID of the result in the Scopus database