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Matematicheskie Zametki, 2009, Volume 86, Issue 3, Pages 474–477
DOI: https://doi.org/10.4213/mzm8508
(Mi mzm8508)
 

This article is cited in 30 scientific papers (total in 30 papers)

Brief Communications

A Note on Ricci Solitons

S. E. Stepanov, V. N. Shelepova

Vladimir State Pedagogical University
References:
Keywords: Ricci soliton, Ricci flow, Riemannian manifold, curvature, self-similar solution, infinitesimal harmonic transformation, conformally Killing vector field, Einstein metric.
Received: 23.05.2007
English version:
Mathematical Notes, 2009, Volume 86, Issue 3, Pages 447–450
DOI: https://doi.org/10.1134/S0001434609090193
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. E. Stepanov, V. N. Shelepova, “A Note on Ricci Solitons”, Mat. Zametki, 86:3 (2009), 474–477; Math. Notes, 86:3 (2009), 447–450
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm8508
  • https://doi.org/10.4213/mzm8508
  • https://www.mathnet.ru/eng/mzm/v86/i3/p474
  • This publication is cited in the following 30 articles:
    1. Avijit Sarkar, Suparna Halder, “Conformal Ricci almost solitons with certain soliton vector fields”, Indian J Pure Appl Math, 2024  crossref
    2. Rahul Poddar, Ramesh Sharma, S. Balasubramanian, “Almost Yamabe solitons satisfying certain conditions on the associated vector field”, Quaestiones Mathematicae, 2024, 1  crossref
    3. Rahul Poddar, “Remarks on Cotton solitons”, Lett Math Phys, 114:4 (2024)  crossref
    4. S. E. Stepanov, I. Mikesh, I. I. Tsyganok, “Obobschennaya tekhnika Bokhnera i ee primenenie k izucheniyu proektivnykh i konformnykh otobrazhenii”, Materialy Mezhdunarodnoi konferentsii «Klassicheskaya i sovremennaya geometriya», posvyaschennoi 100-letiyu so dnya rozhdeniya professora Levona Sergeevicha Atanasyana (15 iyulya 1921 g.—5 iyulya 1998 g.). Moskva, 1–4 noyabrya 2021 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 223, VINITI RAN, M., 2023, 112–122  mathnet  crossref
    5. Vladimir ROVENSKİ, Sergey STEPANOV, Irina TSYGANOK, “Back to Almost Ricci Solitons”, International Electronic Journal of Geometry, 16:1 (2023), 208  crossref
    6. Sergey Stepanov, Irina Tsyganok, “On the geometry in the large of Hadamard manifolds”, Filomat, 37:25 (2023), 8473  crossref
    7. I. A. Aleksandrova, S. E. Stepanov, I. I. Tsyganok, “From Harmonic Mappings to Ricci Flows Due to the Bochner Technique”, J Math Sci, 263:3 (2022), 423  crossref
    8. Sinem Güler, Uday Chand De, “Generalized quasi-Einstein metrics and applications on generalized Robertson–Walker spacetimes”, Journal of Mathematical Physics, 63:8 (2022)  crossref
    9. Amalendu Ghosh, “On Bach almost solitons”, Beitr Algebra Geom, 63:1 (2022), 45  crossref
    10. Calvaruso G., “Solutions of the Ricci Soliton Equation For a Large Class of Siklos Spacetimes”, Int. J. Geom. Methods Mod. Phys., 18:4 (2021), 2150052  crossref  mathscinet  isi  scopus
    11. Calvaruso G., “The Ricci Soliton Equation For Homogeneous Siklos Spacetimes”, Note Mat., 41:1 (2021), 31–44  crossref  mathscinet  isi
    12. Rovenski V., Stepanov S., Tsyganok I., “On Evolution Equations Under the Hamilton'S Ricci Flow”, Results Math., 75:4 (2020), 166  crossref  mathscinet  isi  scopus
    13. Ghosh A., “M-Quasi-Einstein Metrics Satisfying Certain Conditions on the Potential Vector Field”, Mediterr. J. Math., 17:4 (2020), 115  crossref  mathscinet  isi
    14. Perrone D., “Contact Semi-Riemannian Structures in Cr Geometry: Some Aspects”, Axioms, 8:1 (2019), 6  crossref  isi  scopus
    15. I. A. Aleksandrova, S. E. Stepanov, I. I. Tsyganok, “Ot garmonicheskikh otobrazhenii k potokam Richchi na osnove tekhniki Bokhnera”, Materialy mezhdunarodnoi konferentsii “Geometricheskie metody v teorii upravleniya i matematicheskoi fizike”, posvyaschennoi 70-letiyu S.L. Atanasyana, 70-letiyu I.S. Krasilschika, 70-letiyu A.V. Samokhina, 80-letiyu V.T. Fomenko. Ryazanskii gosudarstvennyi universitet im. S.A. Esenina, Ryazan, 25–28 sentyabrya 2018 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 169, VINITI RAN, M., 2019, 75–87  mathnet  crossref
    16. Ghosh A., Sharma R., “Bochner-Kahler and Bach Flat Manifolds”, Arch. Math., 113:5 (2019), 551–560  crossref  mathscinet  isi
    17. Maryam Jamreh, Mehdi Nadjafikhah, “Some non-trivial and non-gradient closed pseudo-Riemannian steady Ricci solitons”, Zhurn. matem. fiz., anal., geom., 15:4 (2019), 526–542  mathnet  crossref  elib
    18. Jamreh M., Nadjafikhah M., “Closed Pseudo-Riemannian Ricci Solitons”, J. Math. Phys., 58:10 (2017), 101505  crossref  mathscinet  zmath  isi  scopus
    19. S. E. Stepanov, I. I. Tsyganok, “Harmonic Transforms of Complete Riemannian Manifolds”, Math. Notes, 100:3 (2016), 465–471  mathnet  crossref  crossref  mathscinet  isi  elib
    20. Calvaruso G., Perrone A., “Ricci Solitons in Three-Dimensional Paracontact Geometry”, J. Geom. Phys., 98 (2015), 1–12  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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