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Izvestiya: Mathematics, 2015, Volume 79, Issue 2, Pages 375–387
DOI: https://doi.org/10.1070/IM2015v079n02ABEH002746 (Mi im8156) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Hodge–de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign

S. E. Stepanova, J. Mikešb

a Financial University under the Government of the Russian Federation, Moscow
b Palacký University Olomouc
English version PDF (297 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM2015v079n02ABEH002746
Abstract: We give a comparative analysis of the spectral properties of the Hodge–de Rham and Tachibana operators on compact Riemannian manifolds whose curvature operator is bounded and has a definite sign. We find bounds for their spectra and estimate their multiplicities.
Keywords: Riemannian manifold, curvature operator, elliptic operators, eigenvalues and eigenforms, conformal Killing forms, harmonic forms.
Funding agency Grant number
Czech Science Foundation P201/11/0356
This paper was written with the financial support of the Czech Science Foundation, grant no. P201/11/0356.
Received: 05.08.2013
Revised: 14.02.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 2, Pages 167–180
DOI: https://doi.org/10.4213/im8156
Bibliographic databases:
Document Type: Article
UDC: 514.764.25+515.168.5
MSC: 53C20, 58A10, 58J60, 35P15
Language: English
Original paper language: Russian
Citation: S. E. Stepanov, J. Mikeš, “The Hodge–de Rham Laplacian and Tachibana operator on a compact Riemannian manifold with curvature operator of definite sign”, Izv. RAN. Ser. Mat., 79:2 (2015), 167–180; Izv. Math., 79:2 (2015), 375–387
Citation in format AMSBIB
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\paper The Hodge--de Rham Laplacian and Tachibana operator on a~compact Riemannian
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\pages 167--180
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  • https://doi.org/10.1070/IM2015v079n02ABEH002746
  • https://www.mathnet.ru/eng/im/v79/i2/p167
    • This publication is cited in the following 7 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:882
    Russian version PDF:390
    English version PDF:23
    References:83
    First page:51
     
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