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Izvestiya: Mathematics, 2010, Volume 74, Issue 3, Pages 501–514
DOI: https://doi.org/10.1070/IM2010v074n03ABEH002496 (Mi im2728) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mixed volume forms and a complex equation of Monge–Ampère type on Kähler manifolds of positive curvature

V. N. Kokarev

Samara State University
English version PDF (288 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM2010v074n03ABEH002496
Abstract: We consider a generalization of the Calabi problem. In the analytic set-up on a Kähler manifold, it leads to a complex Monge–Ampère equation containing the mixed discriminant of the given and unknown metrics. We obtain sufficient conditions for its solubility in the case when the Kähler manifold is $\delta$-pinched ($\delta>1/2$).
Keywords: Kähler manifold, Monge–Ampère equation.
Received: 14.09.2007
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 3, Pages 65–78
DOI: https://doi.org/10.4213/im2728
Bibliographic databases:
Document Type: Article
UDC: 514.772
MSC: 32W20, 32Q15
Language: English
Original paper language: Russian
Citation: V. N. Kokarev, “Mixed volume forms and a complex equation of Monge–Ampère type on Kähler manifolds of positive curvature”, Izv. Math., 74:3 (2010), 501–514
Citation in format AMSBIB
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\by V.~N.~Kokarev
\paper Mixed volume forms and a complex equation of Monge--Amp\`ere type on K\"ahler manifolds of positive curvature
\jour Izv. Math.
\yr 2010
\vol 74
\issue 3
\pages 501--514
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  • https://doi.org/10.1070/IM2010v074n03ABEH002496
  • https://www.mathnet.ru/eng/im/v74/i3/p65
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:641
    Russian version PDF:224
    English version PDF:29
    References:72
    First page:8
     
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