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Asymptotic behavior for singularities of the mean curvature flow
Open accessAbstract
Let M n9 n > 1, be a compact «-dimensional manifold without boundary and assume that Fo: M n -> U n+{ smoothly immerses M n as a hypersurface in a Euclidean (n + l)-space R π+1 .We say that MQ = F 0 (Af") is moved along its mean curvature vector if there is a whole family F( , t) of smooth immersions with corresponding hypersurfaces M t = F( , t)(M n ) such that
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Cited by
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
Chen, Y. G., Giga, Y., & Goto, S. (1991) · Journal of Differential Geometry · doi:10.4310/jdg/1214446564 · Cited by 938
Hensel, S., & Laux, T. (2025) · Journal of Differential Geometry · doi:10.4310/jdg/1747065796 · Cited by 25
Revisiting generic mean curvature flow in ℝ 3
Chodosh, O., Choi, K., Mantoulidis, C., & Schulze, F. (2026) · Journal für die reine und angewandte Mathematik (Crelles Journal) · doi:10.1515/crelle-2025-0064 · Cited by 11
Metadata
- Authors
- Huisken, G.
- Venue
- Journal of Differential Geometry
- Publisher
- International Press of Boston
- Published
- 1990-01-01
- Volume
- 31
- Issue
- 1
- ISSN
- 0022-040X (ISSN-L)
- OpenAlex
- W1980017519
- Cited by
- 877
- References
- 0
- FWCI
- 10.08
- Type
- journal article
- Language
- en
- Open access
- green
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- Huisken, G. (1990). Asymptotic behavior for singularities of the mean curvature flow. Journal of Differential Geometry. https://doi.org/10.4310/jdg/1214444099
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