On the geometry of projective submersions of Riemannian manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (1999), pp. 48-54.

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     title = {On the geometry of projective submersions of {Riemannian} manifolds},
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     url = {http://geodesic.mathdoc.fr/item/IVM_1999_9_a6/}
}
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S. E. Stepanov. On the geometry of projective submersions of Riemannian manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (1999), pp. 48-54. http://geodesic.mathdoc.fr/item/IVM_1999_9_a6/

[1] Aminova A. V., “Psevdorimanovy mnogoobraziya s obschimi geodezicheskimi”, UMN, 48:2 (1993), 107–164 | MR | Zbl

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

[3] Sinyukova E. N., “O geodezicheskikh otobrazheniyakh nekotorykh spetsialnykh rimanovykh prostranstv”, Matem. zametki, 30:6 (1981), 889–894 | MR | Zbl

[4] Mikeš J., “Global geodesic mappings and their generalizations for compact Riemannian space”, Conf. on Diff. Geom. and its Appl., Abstracts (Opava, August 24–28, 1992), Opava, 1992, 143–149 | MR

[5] Podesta F., “Projective submersion”, Bull. Austral. Math. Soc., 43:26 (1991), 251–256 | DOI | MR | Zbl

[6] Nomizu K., Pinkall U., “On the geometry of projective immersion”, J. Math. Soc. Japan, 41:4 (1989), 607–623 | DOI | MR | Zbl

[7] Stepanov S. E., “$O(n)\times O(m-n)$-struktury na $m$-mernykh mnogoobraziyakh i submersii”, Algebra i analiz, 7:6 (1995), 188–204 | MR | Zbl

[8] Stepanov S. E., “K teorii otobrazhenii rimanovykh mnogoobrazii v tselom”, Izv. vuzov. Matematika, 1994, no. 10, 81–88 | Zbl

[9] Stepanov S. E., “K globalnoi teorii proektivnykh otobrazhenii”, Matem. zametki, 58:1 (1995), 111–118 | MR | Zbl

[10] Stepanov S. E., “On the global theory of some classes of mappings”, Ann. Global Anal. and Geometry, 13:3 (1995), 239–249 | DOI | MR | Zbl

[11] Zulanke R., Vintgen D., Differentsialnaya geometriya i rassloeniya, Per. s nem., Mir, M., 1975, 352 pp.

[12] Yano K., Ishihara Sh., “Harmonic and relatively affine mappings”, J. Different. Geom., 10:4 (1975), 501–509 | MR | Zbl

[13] Har' El Zvi., “Projective mappings and distortion theorems”, J. Different. Geom., 15 (1980), 97–106 | MR | Zbl

[14] Ponge R., Reckziegel H., “Twisted products in pseudo-Riemannian geometry”, Geom. dedic., 48:1 (1993), 15–25 | DOI | MR | Zbl

[15] Kobayasi Sh., Nomidzu K., Osnovy differentsialnoi geometrii, T. 2. Per. s angl., Nauka, M., 1981, 414 pp.

[16] Brito F., Walczak P. G., “Totally geodesic foliations with integrable normal bundles”, Bol. Soc. Bras. Mat., 17:1 (1986), 41–46 | DOI | MR | Zbl

[17] Kobayasi Sh., Gruppy preobrazovanii v differentsialnoi geometrii, Per. s angl., Nauka, M., 1986, 224 pp. | MR

[18] Yano K., “Affine connexions in an almost product space”, Kodai Math. Sem. Reports, 11:1 (1959), 1–24 | DOI | MR | Zbl

[19] Reinhart B. L., Differential geometry of foliations: the fundamental integrability problem, Springer-Verlag, Berlin–N.-Y., 1983, 194 pp. | MR | Zbl

[20] Rocamora A. H., “Some geometric consequences of Weitzenbock formula on Riemannian almost-product manifolds; weak-harmonic distributions”, Illinois J. Math., 32 (1988), 655–671 | MR

[21] Gromol D., Klingenberg V., Meier V., Rimanova geometriya v tselom, Per. s nem., Mir, M., 1971, 343 pp.

[22] Stepanov S. E., “An integral formula for a Riemannian almost-product manifold”, Tensor, 55:3 (1994), 209–214 | MR | Zbl

[23] Narasimkhan R., Analiz na deistvitelnykh i kompleksnykh mnogoobraziyakh, Per. s angl., Mir, M., 1971, 232 pp.

[24] Yano K., Integral formulas in Riemannian geometry, Marcel Dekker, N.-Y., 1970, 156 pp. | MR | Zbl