1 |
B. H. Andrews, Contraction of convex hypersurfaces in Euclidean space, Calc. Var. Partial Differential Equations 2 (1994), no. 2, 151-171.
DOI
|
2 |
B. H. Andrews, Contraction of convex hypersurfacs in Riemannian spaces, J. Differential Geom. 39 (1994), no. 2, 407-431.
DOI
|
3 |
B. H. Andrews, Gauss curvature flow: the fate of the rolling stones, Invent. Math. 138 (1999), no. 1, 151-161.
DOI
ScienceOn
|
4 |
B. H. Andrews, Motion of hypersurfaces by Gauss curvature, Pacific J. Math. 195 (2000), no. 1, 1-36.
DOI
|
5 |
B. H. Andrews, Moving surfaces by non-concave curvature functions, preprint (2004), available at arXiv:math.DG/0402273.
|
6 |
A. Borisenko and V. Miquel, Total curvatures of convex hypersurfaces in hyperbolic space, Illinois J. Math. 43 (1999), no. 1, 61-78.
|
7 |
E. Cabezas-Rivas and V. Miquel, Volume preserving mean curvature flow in the hyperbolic space, Indiana Univ. Math. J. 56 (2007), no. 5, 2061-2086.
DOI
|
8 |
B. Chow, Deforming convex hypersurfaces by the nth root of the Gaussian curvature, J. Differential Geom. 22 (1985), no. 1, 117-138.
|
9 |
B. Chow, Deforming convex hypersurfaces by the square root of the scalar curvature, Invent. Math. 87 (1987), no. 1, 63-82.
DOI
|
10 |
R. J. Currier, On hypersurfaces of hyperbolic space infinitesimally supported by horospheres, Trans. Amer. Math. Soc. 313 (1989), no. 1, 419-431.
DOI
ScienceOn
|
11 |
R. E. Greene and H. Wu, Function Theory on Manifolds which possess a Pole, Springer Verlag, LNM 699, Berlin-Heidelberg-New York, 1979.
|
12 |
R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), no. 2, 255-306.
|
13 |
M. Heidusch, Zur Regularitat des Inversen Mittleren Krummungsfusses, PhD thesis, Eberhard-Karls-Universitat Tubingen, 2001.
|
14 |
G. Huisken, Flow by mean curvature of convex surfaces into spheres, J. Differential Geom. 20 (1984), no. 1, 237-266.
DOI
|
15 |
G. Huisken, Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature, Invent. Math. 84 (1986), no. 3, 463-480.
DOI
|
16 |
G. Huisken and C. Sinestrari, Convexity estimates for mean curvature flow and singularities of mean convex surfaces, Acta Math. 183 (1999), no. 1, 45-70.
DOI
|
17 |
G. Huisken and A. Polden, Geometric evolution equations for hypersurfaces, Calculus of variations and geometric evolution problems (Cetraro, 1996), 45-84, Lecture Notes in Math., 1713, Springer, Berlin, 1999.
|
18 |
N. V. Krylov, Nonlinear Elliptic and Parabolic Equations of the Second Order, D. Reidel, 1978.
|
19 |
G. Li, L. Yu, and C. Wu, Curvature flow with a general forcing term in Euclidean spaces, J. Math. Anal. Appl. 353 (2009), no. 2, 508-520.
DOI
ScienceOn
|
20 |
G. M. Lieberman, Second Order Parabolic Differential Equations, World Scientific, 1996.
|
21 |
J. A. McCoy, Mixed volume preserving curvature flows, Calc. Var. Partial Differential Equations. 24 (2005), no. 2, 131-154.
DOI
|
22 |
P. Petersen, Riemannian Geometry. Springer Verlag, New York, 1998.
|
23 |
O. C. Schnurer, Surfaces contracting with speed , J. Differential Geom. 71 (2005), no. 3, 347-363.
DOI
|
24 |
K. Tso, Deforming a hypersurface by its Gauss-Kronecker curvature, Comm. Pure Appl. Math. 38 (1985), no. 6, 867-882.
DOI
|
25 |
F. Schulze, Evolution of convex hypersurfaces by powers of the mean curvature, Math. Z. 251 (2005), no. 4, 721-733.
DOI
|
26 |
J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math. (2) 88 (1968), 62-105.
DOI
ScienceOn
|