On pseudospherical surfaces in $E^4$ with Grassmann image of prescribed type
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 2, pp. 138-148 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{JMAG_2006_2_2_a2,
     author = {Vasyl Gorkavyy},
     title = {On pseudospherical surfaces in $E^4$ with {Grassmann} image of prescribed type},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {138--148},
     year = {2006},
     volume = {2},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2006_2_2_a2/}
}
TY  - JOUR
AU  - Vasyl Gorkavyy
TI  - On pseudospherical surfaces in $E^4$ with Grassmann image of prescribed type
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2006
SP  - 138
EP  - 148
VL  - 2
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JMAG_2006_2_2_a2/
LA  - en
ID  - JMAG_2006_2_2_a2
ER  - 
%0 Journal Article
%A Vasyl Gorkavyy
%T On pseudospherical surfaces in $E^4$ with Grassmann image of prescribed type
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2006
%P 138-148
%V 2
%N 2
%U http://geodesic.mathdoc.fr/item/JMAG_2006_2_2_a2/
%G en
%F JMAG_2006_2_2_a2
Vasyl Gorkavyy. On pseudospherical surfaces in $E^4$ with Grassmann image of prescribed type. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 2 (2006) no. 2, pp. 138-148. http://geodesic.mathdoc.fr/item/JMAG_2006_2_2_a2/

[1] Yu. A. Aminov, Geometry of Submanifolds, Gordon and Breach Sci. Publ., Amsterdam, 2002 | MR

[2] K. Tenenblat, Transformations of Manifolds and Applications to Differential Equations, Pitman Monographs and Surveys in Pure and Appl. Math., 93, Longman Sci. Techn., Harlow, Essex, Wiley–New York, 2000 | MR

[3] C. Rogers, W. K. Schief, Backlund and Darboux Transformations. Geometry and Modern Applications in Soliton Theory, Ser. Cambridge Texts Appl. Math., 30, New South Wales University, Sydney, 2002 | MR

[4] Yu. Aminov, “Bianchi Transformations for Domains of Many-Dimensional Lobachevsky Space”, Ukr. Geom. Sb., 21 (1978), 3–5 (Russian) | MR | Zbl

[5] K. Tenenblat, C.-L. Terng, “Backlund Theorem for $n$-Dimensional Submanifolds of $R^{2n-1}$”, Ann. Math., 111 (1980), 477–490 | DOI | MR | Zbl

[6] C.-L. Terng, “A Higher Dimensional Generalization of the Sine-Gordon Equation and its Soliton Theory”, Ann. Math., 111 (1980), 491–510 | DOI | MR | Zbl

[7] L. A. Masaltsev, “Bianchi Pseudospherical Congruencies in $E^{2n-1}$”, Mat. fiz., analiz, geom., 1 (1994), 505–512 (Russian) | MR | Zbl

[8] Yu. Aminov, A. Sym, “On Bianchi and Backlund Transformations of Two-Dimensional Surfaces in $E^4$”, Math. Phys., Anal., Geom., 3 (2000), 75–89 | DOI | MR | Zbl