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PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00128351" target="_blank" >RIV/00216224:14310/22:00128351 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.5817/AM2022-5-329" target="_blank" >http://dx.doi.org/10.5817/AM2022-5-329</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.5817/AM2022-5-329" target="_blank" >10.5817/AM2022-5-329</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    PSEUDO-RIEMANNIAN AND HESSIAN GEOMETRY RELATED TO MONGE-AMPERE STRUCTURES

  • Original language description

    We study properties of pseudo-Riemannian metrics corresponding to Monge-Ampère structures on four dimensional $T^*M$. We describe a family of Ricci flat solutions, which are parametrized by six coefficients satisfying the Plücker embedding equation. We also focus on pullbacks of the pseudo-metrics on two dimensional $M$, and describe the corresponding Hessian structures.

  • 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

    10100 - Mathematics

Result continuities

  • Project

    <a href="/en/project/GX19-28628X" target="_blank" >GX19-28628X: Homotopy and Homology Methods and Tools Related to Mathematical Physics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archivum Mathematicum

  • ISSN

    1212-5059

  • e-ISSN

  • Volume of the periodical

    58

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    10

  • Pages from-to

    329-338

  • UT code for WoS article

    000897801000005

  • EID of the result in the Scopus database

    2-s2.0-85146915380