Loading [MathJax]/jax/output/SVG/config.js
Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Russian Mathematical Surveys, 1991, Volume 46, Issue 1, Pages 95–197
DOI: https://doi.org/10.1070/RM1991v046n01ABEH002728
(Mi rm4569)
 

This article is cited in 28 scientific papers (total in 29 papers)

Introduction to the geometry of $CR$-manifolds

E. M. Chirka

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Received: 20.09.1990
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: English
Original paper language: Russian
Citation: E. M. Chirka, “Introduction to the geometry of $CR$-manifolds”, Russian Math. Surveys, 46:1 (1991), 95–197
Citation in format AMSBIB
\Bibitem{Chi91}
\by E.~M.~Chirka
\paper Introduction to the geometry of $CR$-manifolds
\jour Russian Math. Surveys
\yr 1991
\vol 46
\issue 1
\pages 95--197
\mathnet{http://mi.mathnet.ru/eng/rm4569}
\crossref{https://doi.org/10.1070/RM1991v046n01ABEH002728}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1109037}
\zmath{https://zbmath.org/?q=an:0742.32006}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1991RuMaS..46...95C}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GP61000003}
Linking options:
  • https://www.mathnet.ru/eng/rm4569
  • https://doi.org/10.1070/RM1991v046n01ABEH002728
  • https://www.mathnet.ru/eng/rm/v46/i1/p81
  • This publication is cited in the following 29 articles:
    1. Sergey Pinchuk, Rasul Shafikov, Alexandre Sukhov, Frontiers in Mathematics, Geometry of Holomorphic Mappings, 2023, 133  crossref
    2. A. G. Sergeev, A. B. Sukhov, “Hermitian Yang–Mills equations and their generalizations”, Int. J. Mod. Phys. A, 37:20 (2022), 2243019–9  mathnet  crossref
    3. Joël Merker, “Vanishing Hachtroudi Curvature and Local Equivalence to the Heisenberg Pseudosphere”, Bull. Iran. Math. Soc., 47:6 (2021), 1775  crossref
    4. A. R. Al-Abdallah, B. Gilligan, “Compact homogeneous Leviflat CR-manifolds”, Complex Anal Synerg, 7:3-4 (2021)  crossref
    5. A. G. Sergeev, A. B. Sukhov, “Dirichlet problem for the Yang–Mills equations”, Russian Math. Surveys, 74:5 (2019), 947–949  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    7. Sh. A. Ayupov, T. F. Zhuraev, “On Projectively Inductively Closed Subfunctors of the Functor $P$ of Probability Measures”, Journal of Mathematical Sciences, 245:3 (2020), 382–389  mathnet  crossref  mathscinet  zmath
    8. S. Pinchuk, R. Shafikov, A. Sukhov, “Some Aspects of Holomorphic Mappings: A Survey”, Proc. Steklov Inst. Math., 298 (2017), 212–247  mathnet  crossref  crossref  isi  elib
    9. Ioannis D. Platis, “Paired $\mathrm{CR}$ CR structures and the example of Falbel's cross-ratio variety”, Geom Dedicata, 181:1 (2016), 257  crossref
    10. Marko Slapar, “On Complex Points of Codimension 2 Submanifolds”, J Geom Anal, 2015  crossref
    11. Emanuele Soncini, Roberto Zucchini, “4-D semistrict higher Chern–Simons theory I”, J. High Energ. Phys, 2014:10 (2014)  crossref
    12. Slapar M., “Modeling Complex Points Up to Isotopy”, J. Geom. Anal., 23:4 (2013), 1932–1943  crossref  isi
    13. Isaev A., “Spherical Tube Hypersurfaces”, Spherical Tube Hypersurfaces, Lecture Notes in Mathematics, 2020, 2011, 1–217  crossref  isi
    14. Alexandre Sukhov, Alexander Tumanov, “Filling Real Hypersurfaces by Pseudoholomorphic Discs”, J Geom Anal, 18:2 (2008), 632  crossref  mathscinet  zmath  isi
    15. Bernard Coupet, Alexandre Sukhov, “Reflection principle and boundary properties of holomorphic mappings”, J Math Sci, 125:6 (2005), 825  crossref
    16. V. K. Beloshapka, “Real submanifolds in complex space: polynomial models, automorphisms, and classification problems”, Russian Math. Surveys, 57:1 (2002), 1–41  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. V. K. Beloshapka, “A Quasiperiodic System of Polynomial Models of CR-Manifolds”, Proc. Steklov Inst. Math., 235 (2001), 1–28  mathnet  mathscinet  zmath
    18. E. M. Chirka, “Levi and Trépreau Theorems for Continuous Graphs”, Proc. Steklov Inst. Math., 235 (2001), 261–276  mathnet  mathscinet  zmath
    19. V. K. Beloshapka, “Polynomial models of real manifolds”, Izv. Math., 65:4 (2001), 641–657  mathnet  crossref  crossref  mathscinet  zmath  elib
    20. V. K. Beloshapka, “A Cubic Model of a Real Variety”, Math. Notes, 70:4 (2001), 457–470  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:1090
    Russian version PDF:585
    English version PDF:104
    References:111
    First page:3
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025