Voir la notice de l'article provenant de la source American Mathematical Society
Andrews, Ben. Classification of limiting shapes for isotropic curve flows. Journal of the American Mathematical Society, Tome 16 (2003) no. 2, pp. 443-459. doi: 10.1090/S0894-0347-02-00415-0
@article{10_1090_S0894_0347_02_00415_0,
author = {Andrews, Ben},
title = {Classification of limiting shapes for isotropic curve flows},
journal = {Journal of the American Mathematical Society},
pages = {443--459},
year = {2003},
volume = {16},
number = {2},
doi = {10.1090/S0894-0347-02-00415-0},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-02-00415-0/}
}
TY - JOUR AU - Andrews, Ben TI - Classification of limiting shapes for isotropic curve flows JO - Journal of the American Mathematical Society PY - 2003 SP - 443 EP - 459 VL - 16 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-02-00415-0/ DO - 10.1090/S0894-0347-02-00415-0 ID - 10_1090_S0894_0347_02_00415_0 ER -
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[1] , The normalized curve shortening flow and homothetic solutions J. Differential Geom. 1986 175 196
[2] Contraction of convex hypersurfaces by their affine normal J. Differential Geom. 1996 207 230
[3] Monotone quantities and unique limits for evolving convex hypersurfaces Internat. Math. Res. Notices 1997 1001 1031
[4] Evolving convex curves Calc. Var. Partial Differential Equations 1998 315 371
[5] Motion of hypersurfaces by Gauss curvature Pacific J. Math. 2000 1 34
[6] , , On the affine heat equation for non-convex curves J. Amer. Math. Soc. 1998 601 634
[7] , Geometric expansion of convex plane curves J. Differential Geom. 1996 312 330
[8] , A convexity theorem for a class of anisotropic flows of plane curves Indiana Univ. Math. J. 1999 139 154
[9] An isoperimetric inequality with applications to curve shortening Duke Math. J. 1983 1225 1229
[10] Curve shortening makes convex curves circular Invent. Math. 1984 357 364
[11] Flow of nonconvex hypersurfaces into spheres J. Differential Geom. 1990 299 314
[12] The heat equation shrinks embedded plane curves to round points J. Differential Geom. 1987 285 314
[13] , The heat equation shrinking convex plane curves J. Differential Geom. 1986 69 96
[14] Isoperimetric estimates for the curve shrinking flow in the plane 1995 201 222
[15] A distance comparison principle for evolving curves Asian J. Math. 1998 127 133
[16] Singularities and self-intersections of curves evolving on surfaces Indiana Univ. Math. J. 1994 959 981
[17] , On affine plane curve evolution J. Funct. Anal. 1994 79 120
[18] Survey of singular geodesics 1996 325 339
[19] Correction to: “An expansion of convex hypersurfaces” [J. Differential Geom. 33 (1991), no. 1, 91–125 J. Differential Geom. 1992 763 765
[20] On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures Math. Z. 1990 355 372
[21] Convex curves moving homothetically by negative powers of their curvature Asian J. Math. 1999 635 656
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