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 hypersurfaces 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
|
4 |
B. H. Andrews, Motion of hypersurfaces by Gauss curvature, Pacific J. Math. 195 (2000), no. 1, 1-34.
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 |
E. Cabezas-Rivas and C. Sinestrari, Volume-preserving flow by powers of the m-th mean curvature, Calc. Var. Partial Differential Equations 38 (2009), no. 3-4, 441-469.
DOI
|
9 |
B. Chow, Deforming convex hypersurfaces by the nth root of the Gaussian curvature, J. Differential Geom. 22 (1985), no. 1, 117-138.
DOI
|
10 |
B. Chow, Deforming convex hypersurfaces by the square root of the scalar curvature, Invent. Math. 87 (1987), no. 1, 63-82.
DOI
|
11 |
E. DiBenedetto and A. Friedman, Holder estimates for nonlinear degenerate parabolic systems, J. Reine Angew. Math. 357 (1985), 1-22.
|
12 |
C. Gerhardt, Curvature Problems, Series in Geometry and Topology, 39, International Press, Somerville, MA, Series in Geometry and Topology, 2006.
|
13 |
S. Z. Guo, G. H. Li, and C. X. Wu, Contraction of horosphere-convex hypersurfaces by powers of the mean curvature in the hyperbolic state, J. Korean Math. Soc. 50 (2013), no. 6, 1311-1332.
DOI
|
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. H. Li, L. J. Yu, and C. X. Wu, Curvature flow with a general forcing term in Euclidean spaces, J. Math. Anal. Appl. 353 (2009), no. 2, 508-520.
DOI
|
17 |
M. Makowski, Mixed volume preserving curvature flows in hyperbolic space, preprint, arxiv:12308.1898v1, [math.DG] 9 Aug 2012.
|
18 |
J. A. McCoy, Mixed volume preserving curvature flows, Calc. Var. Partial Differential Equations 24 (2005), no. 2, 131-154.
DOI
|
19 |
O. C. Schnurer, Surfaces contracting with speed , J. Differential Geom. 71 (2005), no. 4, 347-363.
DOI
|
20 |
R. Schoen, L. Simon, and S. T. Yau, Curvature estimates for minimal hypersurfaces, Acta Math. 134 (1975), no. 3-4, 275-288.
DOI
|
21 |
F. Schulze, Evolution of convex hypersurfaces by powers of the mean curvature, Math. Z. 251 (2005), no. 4, 721-733.
DOI
|
22 |
F. Schulze, Convexity estimates for flows by powers of the mean curvature, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 5 (2006), no. 2, 261-277.
|
23 |
J. Simons, Minimal varieties in Riemannian manifolds, Ann. of Math. (2) 88 (1968), no. 1, 62-105.
DOI
|
24 |
K. Tso, Deforming a Hypersurface by Its Gauss-Kronecker Curvature, Comm. Pure Appl. Math. 38 (1985), no. 6, 867-882.
DOI
|