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Université de Fribourg

Nondefective stationary discs and 2-jet determination in higher codimension

Bertrand, Florian ; Meylan, Francine

In: The Journal of Geometric Analysis, 2020, p. -

We discuss the links between stationary discs, the defect of analytic discs, and 2-jet determination of CR automorphisms of generic nondegenerate real submanifolds of CN of class C4.

  • We also refer for instance to the articles of Zaitsev [35], Baouendi et al. [2], Baouendi et al. [3], Ebenfelt et al. [15], Lamel and Mir [23], Juhlin [19], Juhlin and Lamel [20], Mir and Zaitsev [26] in the real analytic framework....
  • -Y., Zaitsev, D.: Equivalence and embedding problems for CR-structures of any codimension....
  • Mir, N., Zaitsev, D.: Unique jet determination and extension of germs of CR maps into spheres....
  • For a survey, we refer for instance to the articles of Zaitsev [39] or Baouendi, Ebenfelt and Rothschild [3]....
  • Zaitsev, Chern–Moser operators and polynomial models in CR geometry, Adv....
  • Zaitsev, Unique determination of local CR-maps by their jets: a survey, Rend....
  • The sample (OL-3a in Zaitsev et al. 2008) is fast quenched lapilli from the 1992 eruption of Oldoinyo Lengai....
  • Note that there is a clear trend in Na2O and CaO with decreasing temperature for the gregoryites (Zaitsev and Keller 2006; Zaitsev et al. 2008) to higher temperatures than nyerereite....
  • The careful reviews of Bruce Kjarsgaard, Dougal Jerram, and Anatoly Zaitsev are gratefully appreciated....
  • Zaitsev University Medical Center Freiburg, Freiburg, Germany D....
  • Gallichan D, Cocosco CA, Dewdney A, Schultz G, Welz A, Hennig J, Zaitsev M (2011) Simultaneously driven linear and nonlinear spatial encoding fields in MRI....
  • Magn Reson Med 46:638–651 Schultz G, Gallichan D, Reisert M, Zaitsev M, Hennig J (2011) Fast image reconstruction for generalized projection imaging....
  • ZAITSEV, J....
  • ZAITSEV. 1988....
  • ZAITSEV, M....
  • In Textbook of Haemophilia, Chapman and Hall, London. 7 Zaitseva, I., Zaitsev, V., Card, G., Moshkov, B., Ralph, A. and Lindley, P.F. (1995) The nature of the copper centres in human ceruloplasmin....
Université de Fribourg

Higher order symmetries of real hypersurfaces in ℂ³

Kolář, Martin ; Meylan, Francine

In: Proceedings of the American Mathematical Society, 2016, p. -

We study nonlinear automorphisms of Levi degenerate hypersurfaces of finite multitype. By results of Kolar, Meylan, and Zaitsev in 2014, the Lie algebra of infinitesimal CR automorphisms may contain a graded component consisting of nonlinear vector fields of arbitrarily high degree, which has no analog in the classical Levi nondegenerate case, or in the case of finite type hypersurfaces in $ ...

  • MR2115664 (2006c:32047) [15] Peter Ebenfelt, Bernhard Lamel, and Dmitri Zaitsev, Degenerate real hypersurfaces in C2 with few automorphisms, Trans....
  • Zaitsev, Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case, Geom....
  • MR0322365 (48 #727) [23] Martin Kolar, Francine Meylan, and Dmitri Zaitsev, Chern-Moser operators and polynomial models in CR geometry, Adv....
  • ., 1998; Zaitsev and Baryshnikov, 2002)....
  • As well, at present they are not present in the vicinity of Lake Baikal (Rzebik-Kowalska, 1998; Zaitsev and Baryshnikov, 2002)....
  • Zaitsev, M.V., Baryshnikov, G.F., 2002....
Université de Fribourg

Melilite-group minerals at Oldoinyo Lengai, Tanzania

Wiedenmann, Daniel ; Keller, Jörg ; Zaitsev, Anatoly N.

In: Lithos, 2010, p. -

Oldoinyo Lengai and the volcanic centres of the Lake Natron–Engaruka province contain melilite as a widespread mineral. Extraordinarily Na–Al-rich melilites (up to 6 wt.% Na₂O and 9 wt.% Al₂O₃) from recent explosive eruptions are among the most Na-rich ever reported. Their unusual mineral composition leads to optical properties with vivid birefringence colours of 2nd order. The...

  • Keller, J., Zaitsev, A.N., Wiedenmann, D., 2006....
  • Wiedenmann, D., Zaitsev, A.N., Britvin, S.N., Krivovichev, S.V., Keller, J., 2009....
  • Zaitsev, A.N., Keller, J., Spratt, J., Jeffries, T.E., Sharygin, V.V., 2009....
Université de Fribourg

Degree of a holomorphic map between unit balls from ℂ² to ℂⁿ

Meylan, Francine

In: Proceedings of the American Mathematical Society, 2006, vol. 134, p. 1023-1030

  • I would like to thank Dmitri Zaitsev for many helpful discussions and comments on this paper....
  • For w ∈ M ∩ U ∩ Ω and w ∈ U ∩ Ω , we set, following Zaitsev [Z99], (3.3) r 2 F (Qw ) := {Q w | F (Ω ∩ Qw ) ⊂ Q w }....
  • MR0543749 (81h:32022) Zaitsev, D. — Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces....