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Izvestiya: Mathematics, 2003, Volume 67, Issue 2, Pages 209–224
DOI: https://doi.org/10.1070/IM2003v067n02ABEH000425 (Mi im425) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Zero mean curvature surfaces of mixed type in Minkowski space

V. A. Klyachin

Volgograd State Pedagogical University
English version PDF (213 kB) Citations (22)
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DOI: https://doi.org/10.1070/IM2003v067n02ABEH000425
Abstract: We investigate zero mean curvature surfaces in the Minkowski space ${\mathbb R}^3_1$ such that their first fundamental quadratic form changes signature. Part of such a surface is space-like and part is time-like. We obtain complete information about the structure of the set of points where the surface changes type and prove the related existence and uniqueness theorems.
Received: 13.03.2002
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2003, Volume 67, Issue 2, Pages 5–20
DOI: https://doi.org/10.4213/im425
Bibliographic databases:
UDC: 517.957+514.752
MSC: 35F20, 35M05, 53A10, 53C21, 53C50, 65P05
Language: English
Original paper language: Russian
Citation: V. A. Klyachin, “Zero mean curvature surfaces of mixed type in Minkowski space”, Izv. RAN. Ser. Mat., 67:2 (2003), 5–20; Izv. Math., 67:2 (2003), 209–224
Citation in format AMSBIB
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\by V.~A.~Klyachin
\paper Zero mean curvature surfaces of mixed type in Minkowski space
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\issue 2
\pages 5--20
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\transl
\jour Izv. Math.
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  • https://doi.org/10.1070/IM2003v067n02ABEH000425
  • https://www.mathnet.ru/eng/im/v67/i2/p5
    • This publication is cited in the following 22 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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    Russian version PDF:303
    English version PDF:29
    References:101
    First page:1
     
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