A generalization of Frenet's frame for non-degenerate quadratic forms with any index
Séminaire de théorie spectrale et géométrie, Tome 20 (2001-2002), pp. 101-130 
@article{TSG_2001-2002__20__101_0,
     author = {B\'erard Bergery, Lionel and Charuel, Xavier},
     title = {A generalization of {Frenet's} frame for non-degenerate quadratic forms with any index},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {101--130},
     year = {2001-2002},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {20},
     zbl = {1032.53009},
     language = {en},
     url = {https://www.numdam.org/item/TSG_2001-2002__20__101_0/}
}
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Bérard Bergery, Lionel; Charuel, Xavier. A generalization of Frenet's frame for non-degenerate quadratic forms with any index. Séminaire de théorie spectrale et géométrie, Tome 20 (2001-2002), pp. 101-130. https://www.numdam.org/item/TSG_2001-2002__20__101_0/

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