@article{AFST_1996_6_5_4_661_0,
author = {Carlos Gutierrez and Victor Gu{\'\i}\~nez},
title = {Positive quadratic differential forms : linearization, finite determinacy and versal unfolding},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {661--690},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 5},
number = {4},
year = {1996},
zbl = {0882.58007},
mrnumber = {1473078},
language = {en},
url = {https://afst.centre-mersenne.org/item/AFST_1996_6_5_4_661_0/}
}
TY - JOUR AU - Carlos Gutierrez AU - Victor Guíñez TI - Positive quadratic differential forms : linearization, finite determinacy and versal unfolding JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1996 SP - 661 EP - 690 VL - 5 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/item/AFST_1996_6_5_4_661_0/ LA - en ID - AFST_1996_6_5_4_661_0 ER -
%0 Journal Article %A Carlos Gutierrez %A Victor Guíñez %T Positive quadratic differential forms : linearization, finite determinacy and versal unfolding %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1996 %P 661-690 %V 5 %N 4 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/item/AFST_1996_6_5_4_661_0/ %G en %F AFST_1996_6_5_4_661_0
Carlos Gutierrez; Victor Guíñez. Positive quadratic differential forms : linearization, finite determinacy and versal unfolding. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 5 (1996) no. 4, pp. 661-690. https://afst.centre-mersenne.org/item/AFST_1996_6_5_4_661_0/
[Du] ) .- Singularities of vector fields on the plane, J. Differential Equation 23, n° 1 (1977), pp. 53-106. | MR | Zbl
[DRS] ), ) and ) .- Generic3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case, Erg. Theory and Dyn. Syst. 7 (1987), pp. 375-413. | MR | Zbl
[Gu1] ) . - Positive quadratic differential forms and foliations with singularities on surfaces, Trans. Amer. Math. Soc. 309, n° 2 (1988), pp. 477-502. | MR | Zbl
[Gu2] ) .- Nonorientable polynomial foliations on the plane, J. Differential Equations 87 (1990), pp. 391-411. | MR | Zbl
[Gu3] ) . - Locally stable singularities for positive quadratic differential forms, J. Differential Equations 110 (1994), pp. 1-37. | MR | Zbl
[GS1] ) and ) .- An approximation theorem for immersions with stable configurations of line of principal curvature, Lecture Notes in Math. 1007, Springer (1983), pp. 332-368. | MR | Zbl
[GS2] ) and ) .- Structurally stable configurations of lines of principal curvature, Astérique 98-99 (1982), pp. 195-215. | MR | Zbl
[HPS] ), ) and ) .- Invariant manifolds, Lecture Notes in Mathematics 583, Springer Verlag 1977. | MR | Zbl
[Kl] ) .- On Bol's proof of Carathéodory's Conjecture, Comm. Pure Appl. Math. 12 (1959), pp. 277-311. | MR | Zbl
[Ma] ) .- Singularities of differentiable functions, London Math. Soc. Lecture Notes Series 58, Cambridge Univ. Press, 1982. | MR | Zbl
[SX] ) and ) . - A geometric estimate for the index of an umbilic point on a smooth surface, Bull. London Math. Soc. 24 (1992), pp. 176-180. | MR | Zbl
[So] ) .- Generic one-parameter families of vector fields on two-dimensional manifolds, Publ. Math. IHES. 43 (1974), pp. 5-46. | Numdam | MR | Zbl
[Ta] ) .- Singularities of vector fields, Publ. Math. IHES 43 (1974), pp. 47-100. | Numdam | MR | Zbl