Geodesic
Geometriya Mnogoobraziya M-ploskostej Ellipticheskogo N-prostranstva
Publications de l'Institut Mathématique, _N_S_54 (1993) no. 68, p. 80

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Izuchaetsya grassmanovo mnogoobrazie $G_{n,m}^s$ $m$-ploskostej ellipticheskogo $n$-prostranstva $S_n$ v ego invariantnoj rimanovoj metrike. Dayutsya novye, bolee prostye dokazatel'stva teorem o geodezicheskih etogo mnogoobraziya ($m$-gelikoidah), o vpolne geodezicheskih podmnogoobraziyah etogo mnogoobraziya, o ego derivacionnyh formulah i tenzore krivizny. V chastnosti, rassmatrivayutsya psevdokongruencii Kartana, paratakticheskie kongruencii i paratakticheskie $m$-gelikoidy. Pokazyvaetsya, chto $m$-puchki, prohodyawie cherez $m$-ploskost', opredelyayut metricheskuyu segreanu v beskonechno udalennoj giperploskosti kasatel,nogo $(m+1)(n-m)$-prostranstva mnogoobraziya $G_{n,m}^s$. Derivacionnye formuly pozvol{yayu}t izuchat, differencial,nuyu geometriyu semejstv $m$-ploskostej.
Classification : 51C35 
@article{PIM_1993_N_S_54_68_a12,
     author = {Al and fiya Shabaeva-Masagutova},
     title = {Geometriya {Mnogoobraziya} {M-ploskostej} {Ellipticheskogo} {N-prostranstva}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {80 },
     publisher = {mathdoc},
     volume = {_N_S_54},
     number = {68},
     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a12/}
}
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Al; fiya Shabaeva-Masagutova. Geometriya Mnogoobraziya M-ploskostej Ellipticheskogo N-prostranstva. Publications de l'Institut Mathématique, _N_S_54 (1993) no. 68, p. 80 . http://geodesic.mathdoc.fr/item/PIM_1993_N_S_54_68_a12/