Results 41 to 50 of about 134 (57)

Classification of Lagrangian translators and Lagrangian self-expanders in $\mathbb{C}^{2}$

open access: yes
In this paper, we obtain several classification results of $2$-dimensional complete Lagrangian translators and lagrangian self-expanders with constant squared norm $|\vec{H}|^{2}$ of the mean curvature vector in $\mathbb{C}^{2}$ by using a new Omori-Yau ...
Li, Zhi, Wei, Guoxin
core  

The DrosDel collection: a set of P-element insertions for generating custom chromosomal aberrations in Drosophila melanogaster. [PDF]

open access: yesGenetics, 2004
Ryder E   +36 more
europepmc   +1 more source

Time global existence of generalized BV flow via the Allen--Cahn equation

open access: yes
We show that a mean curvature flow obtained as the limit of the Allen--Cahn equation is not only a Brakke flow but also a generalized BV flow proposed by Stuvard and Tonegawa.Comment: 15 pages. This paper draws heavily from arXiv:2305.12374.
Tashiro, Kiichi
core  

Gap theorems for complete self-shrinkers of $r$-mean curvature flows

open access: yes
In this paper, we prove gap results for complete self-shrinkers of the $r$-mean curvature flow involving a modified second fundamental form. These results extend previous results for self-shrinkers of the mean curvature flow due to Cao-Li and Cheng-Peng.
Alencar, Hilário   +2 more
core  

Gauss curvature type flow and Alexandrov-Fenchel inequalities in the hyperbolic space

open access: yes
We consider the Gauss curvature type flow for uniformly convex hypersurfaces in the hyperbolic space $\mathbb{H}^{n+1}\ (n\geqslant 2)$. We prove that if the initial closed hypersurface is smooth and uniformly convex, then the smooth solution exists for ...
Luo, Tianci, Zhou, Rong
core  

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