Ancient mean curvature flows out of polytopes
T Bourni, M Langford, G Tinaglia - Geometry & Topology, 2022 - msp.org
Ancient mean curvature flows out of polytopes Page 1 GGG G G G G GGGG G G G GGG
TTT T T T TTTTTT T T T T T Geometry & Topology msp Volume 26 (2022) Ancient mean …
TTT T T T TTTTTT T T T T T Geometry & Topology msp Volume 26 (2022) Ancient mean …
Ancient mean curvature flows from minimal hypersurfaces
Y Han - arXiv preprint arXiv:2311.15278, 2023 - arxiv.org
arXiv:2311.15278v1 [math.DG] 26 Nov 2023 Page 1 arXiv:2311.15278v1 [math.DG] 26 Nov
2023 ANCIENT MEAN CURVATURE FLOWS FROM MINIMAL HYPERSURFACES YONGHENG …
2023 ANCIENT MEAN CURVATURE FLOWS FROM MINIMAL HYPERSURFACES YONGHENG …
A classification result for eternal mean convex flows of finite total curvature type
A Mramor - arXiv preprint arXiv:2403.12020, 2024 - arxiv.org
arXiv:2403.12020v1 [math.DG] 18 Mar 2024 Page 1 A CLASSIFICATION RESULT FOR
ETERNAL MEAN CONVEX FLOWS OF FINITE TOTAL CURVATURE TYPE ALEXANDER …
ETERNAL MEAN CONVEX FLOWS OF FINITE TOTAL CURVATURE TYPE ALEXANDER …
On the construction of closed nonconvex nonsoliton ancient mean curvature flows
T Bourni, M Langford, A Mramor - International Mathematics …, 2021 - academic.oup.com
We construct closed, embedded, ancient mean curvature flows in each dimension with the
topology of. These examples are not mean convex and not solitons. They are constructed by …
topology of. These examples are not mean convex and not solitons. They are constructed by …
Ancient mean curvature flows with finite total curvature
We construct an $ I $-family of ancient graphical mean curvature flows over a minimal
hypersurface in $\mathbb {R}^{n+ 1} $ of finite total curvature with the Morse index $ I $ by …
hypersurface in $\mathbb {R}^{n+ 1} $ of finite total curvature with the Morse index $ I $ by …
Geometry & Topology
T BOURNI, MAT LANGFORD… - Geometry & Topology, 2022 - projecteuclid.org
The mean curvature flow arose in the 1950s as a physical model for the motion of grain
boundaries in annealing metals (see for instance Mullins [62] and von Neumann [63]) and …
boundaries in annealing metals (see for instance Mullins [62] and von Neumann [63]) and …
Lens generalisation of τ-functions for the elliptic discrete Painlevé equation
AP Kels, M Yamazaki - International Mathematics Research …, 2021 - academic.oup.com
We propose a new bilinear Hirota equation for-functions associated with the root lattice that
provides a “lens” generalisation of the-functions for the elliptic discrete Painlevé equation …
provides a “lens” generalisation of the-functions for the elliptic discrete Painlevé equation …
Rigidity of riemannian manifolds containing an equator
L Mazet - arXiv preprint arXiv:2010.01994, 2020 - arxiv.org
In this paper, we prove that a Riemannian $ n $-manifold $ M $ with sectional curvature
bounded above by $1 $ that contains a minimal $2 $-sphere of area $4\pi $ which has index …
bounded above by $1 $ that contains a minimal $2 $-sphere of area $4\pi $ which has index …
The atomic structure of ancient grain boundaries
T Bourni, M Langford, G Tinaglia - arXiv preprint arXiv:2006.16338, 2020 - arxiv.org
Democritus and the early atomists held that" the material cause of all things that exist is the
coming together of atoms and void. Atoms are eternal and have many different shapes, and …
coming together of atoms and void. Atoms are eternal and have many different shapes, and …
[图书][B] On singularities and weak solutions of mean curvature flow
AE Mramor - 2019 - search.proquest.com
This dissertation concerns the mean curvature flow, a geometric evolution equation for
submanifolds, with an emphasis on singularity models and weak solutions. One highlight is …
submanifolds, with an emphasis on singularity models and weak solutions. One highlight is …