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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 305, Pages 291–308
DOI: https://doi.org/10.4213/tm3978 (Mi tm3978) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Isoperimetric Inequalities for Higher Eigenvalues of the Laplace–Beltrami Operator on Surfaces

Alexei V. Penskoiab

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991 Russia
b Faculty of Mathematics, National Research University Higher School of Economics, ul. Usacheva 6, Moscow, 119048 Russia
Full-text PDF (274 kB) Citations (5)
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DOI: https://doi.org/10.4213/tm3978
Abstract: Recent advances in isoperimetric inequalities for higher eigenvalues of the Laplace–Beltrami operator on the sphere and on the projective plane are discussed.
Funding agency Grant number
Russian Science Foundation 16-11-10260
This work is supported by the Russian Science Foundation under grant 16-11-10260 and performed at Moscow State University.
Received: October 11, 2018
Revised: October 11, 2018
Accepted: November 30, 2018
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 305, Pages 270–286
DOI: https://doi.org/10.1134/S0081543819030167
Bibliographic databases:
Document Type: Article
UDC: 514.76+517.9
Language: Russian
Citation: Alexei V. Penskoi, “Isoperimetric Inequalities for Higher Eigenvalues of the Laplace–Beltrami Operator on Surfaces”, Algebraic topology, combinatorics, and mathematical physics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 305, Steklov Math. Inst. RAS, Moscow, 2019, 291–308; Proc. Steklov Inst. Math., 305 (2019), 270–286
Citation in format AMSBIB
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\inbook Algebraic topology, combinatorics, and mathematical physics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
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\vol 305
\pages 291--308
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    • This publication is cited in the following 5 articles:
    1. Egor Morozov, “Index of Bipolar Surfaces to Otsuki Tori”, Math Phys Anal Geom, 27:4 (2024)  crossref
    2. V. Medvedev, “On the index of the critical Möbius band in B4”, J. Geom. Anal., 33:3 (2023), 93  crossref
    3. V. Medvedev, “Degenerating sequences of conformal classes and the conformal Steklov spectrum”, Can. J. Math.-J. Can. Math., 74:4 (2022), 1093–1136  crossref  mathscinet  isi
    4. Karpukhin M., Medvedev V., “On the Friedlander-Nadirashvili Invariants of Surfaces”, Math. Ann., 379:3-4 (2021), 1767–1805  crossref  mathscinet  isi  scopus
    5. Ravil Gabdurakhmanov, “Spaces of harmonic maps of the projective plane to the four-dimensional sphere”, J. Geom., 111:3 (2020)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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