Geodesic
Infinitesimal harmonic transformations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2004), pp. 69-75.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{IVM_2004_5_a8,
     author = {M. V. Smolnikova and S. E. Stepanov and I. G. Shandra},
     title = {Infinitesimal harmonic transformations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--75},
     publisher = {mathdoc},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2004_5_a8/}
}
TY  - JOUR
AU  - M. V. Smolnikova
AU  - S. E. Stepanov
AU  - I. G. Shandra
TI  - Infinitesimal harmonic transformations
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2004
SP  - 69
EP  - 75
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2004_5_a8/
LA  - ru
ID  - IVM_2004_5_a8
ER  - 
%0 Journal Article
%A M. V. Smolnikova
%A S. E. Stepanov
%A I. G. Shandra
%T Infinitesimal harmonic transformations
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2004
%P 69-75
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2004_5_a8/
%G ru
%F IVM_2004_5_a8
M. V. Smolnikova; S. E. Stepanov; I. G. Shandra. Infinitesimal harmonic transformations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2004), pp. 69-75. http://geodesic.mathdoc.fr/item/IVM_2004_5_a8/

[1] Eells J., Lemaire L., “A report on harmonic maps”, Bull. London Math. Soc., 10:1 (1978), 1–68 | DOI | MR | Zbl

[2] Eells J., Lemaire L., “Another report on harmonic maps”, Bull. London Math. Soc., 20 (1988), 385–524 | DOI | MR | Zbl

[3] Davidov I., Sergeev A. G., “Tvistornye prostranstva i garmonicheskie otobrazheniya”, UMN, 48:3 (1993), 3–96 | MR | Zbl

[4] Eizenkhart L. P., Rimanova geometriya, In. lit., M., 1948, 316 pp.

[5] Yano K., Differential geometry on complex and almost complex spaces, Pergamon Press, Oxford, 1965, 326 pp. | MR | Zbl

[6] Sinyukov N. S., Geodezicheskie otobrazheniya rimanovykh prostranstv, Nauka, M., 1979, 255 pp. | MR | Zbl

[7] Aminova A. V., “Gruppy preobrazovanii rimanovykh mnogoobrazii”, Itogi nauki i tekhn. Probl. geometrii, 22, VINITI, 1990, 97–165 | MR

[8] Yano K., The theory of Lie derivatives and its applications, North Holland, Amsterdam, 1957, 299 pp. | MR | Zbl

[9] Kobayasi Sh., Gruppy preobrazovanii v differentsialnoi geometrii, Nauka, M., 1986, 224 pp. | MR

[10] Stepanov S. E., “The classification of harmonic diffeomorphisms”, Abstracts of the 5th International Conf. on Geom. and Appl. (August 24–29, 2001, Varna), Union of Bulgarian Mathematicians, Sofia, 2001, 55

[11] Smolnikova M. V., “On global geometry harmonic symmetric bilinear differential forms”, Tez. dokl. mezhdunarodn. konf. po differentsialnym uravneniyam i dinamicheskim sistemam (21–26 avgusta 2000 g., Suzdal), Izd-vo Vladimirsk. un-ta, Vladimir, 2000, 87–88

[12] Narasimkhan R., Analiz na deistvitelnykh i kompleksnykh mnogoobraziyakh, Mir, M., 1971, 232 pp. | Zbl

[13] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, I, Nauka, M., 1981, 344 pp. | MR

[14] Yano K., Bokhner S., Krivizna i chisla Betti, In. lit., M., 1957, 152 pp.

[15] Besse A., Mnogoobraziya Einshteina, Mir, M., 1990, 703 pp. | MR | Zbl

[16] Garcia-Rio E., Vanhecke L., Vazquez-Abal E., “Harmonic endomorphism fields”, Illinois Journal of Mathematics, 41:1 (1997), 23–30 | MR | Zbl

[17] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, II, Nauka, M., 1981, 414 pp.

[18] Pale R., Seminar po teoreme Ati–Zingera ob indekse, Mir, M., 1970, 359 pp. | MR