Abstract
By using the Darboux transformation in Soliton theory, we give the explicit construction for local isometric immersions of the Riemannian product $M^{n_1}_1(c_1)\times M^{n_2}_2(c_2)$ into space forms $M^m(c)$ with flat normal bundle via purely algebraic algorithm.
Citation
Qun He. Yi-Bing Shen. "Darboux transformations and isometric immersions of Riemannian products of space forms." Kodai Math. J. 25 (3) 321 - 340, October 2002. https://doi.org/10.2996/kmj/1071674465
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