Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 981–987 (Mi semr543)  
Geometry and topology

On $\mathrm{Spin(7)}$ Monge–Ampère type equations

Dmitry V. Egorov

Ammosov Northeastern federal university, Kulakovsky str. 48, 677000, Yakutsk, Russia
Full-text PDF (506 kB)
References:
PDF
HTML
Abstract: In this paper we define the Monge–Ampère type equation on spaces equipped with the $\mathrm{Spin(7)}$-structure. We express the equation in octonionic coordinates and prove its ellipticity.
Keywords: Monge–Ampère equation, $\mathrm{Spin(7)}$-manifolds.
Received November 13, 2014, published December 19, 2014
Document Type: Article
UDC: 512.5
MSC: 13A99
Language: English
Citation: Dmitry V. Egorov, “On $\mathrm{Spin(7)}$ Monge–Ampère type equations”, Sib. Èlektron. Mat. Izv., 11 (2014), 981–987
Citation in format AMSBIB
\Bibitem{Ego14}
\by Dmitry~V.~Egorov
\paper On $\mathrm{Spin(7)}$ Monge--Amp\`{e}re type equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 981--987
\mathnet{http://mi.mathnet.ru/semr543}
Linking options:
  • https://www.mathnet.ru/eng/semr543
  • https://www.mathnet.ru/eng/semr/v11/p981
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:144
    Full-text PDF :52
    References:43
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024