Results 11 to 20 of about 1,042 (28)

On the umbilic set of immersed surfaces in three-dimensional space forms

open access: yes, 2019
We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a $3$-dimensional space form has positive measure. In case of an immersed sphere our result can be seen as a generalization of the celebrated
Catino, Giovanni   +2 more
core   +1 more source

Parallel Mean Curvature Surfaces in Symmetric Spaces

open access: yes, 2011
We present a reduction of codimension theorem for surfaces with parallel mean curvature in symmetric ...
H. Alencar   +4 more
core   +1 more source

Sphere-foliated minimal and constant mean curvature hypersurfaces in product spaces [PDF]

open access: yes, 2010
In this paper, we prove that minimal hypersurfaces when $n\geq 3$ and nonzero constant mean curvature hypersurfaces when $n\geq2$ foliated by spheres in parallel horizontal hyperplanes in ${\mathbb{H}}^n \times \mathbb{R}$ must be rotationally symmetric ...
Seo, Keomkyo
core   +1 more source

An approach for minimal surface family passing a curve

open access: yes, 2014
We investigate minimal surfaces passing a given curve in $R^{3}$. Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition for minimal surface.
Kahyaoğlu, Sedat, Kasap, Emin
core   +1 more source

On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space II [PDF]

open access: yes, 2014
Let $u$ be a smooth convex function in $\mathbb{R}^{n}$ and the graph $M_{\nabla u}$ of $\nabla u$ be a space-like translating soliton in pseudo-Euclidean space $\mathbb{R}^{2n}_{n}$ with a translating vector $\frac{1}{n}(a_{1}, a_{2}, \cdots, a_{n}; b_ ...
Huang, R. L., Xu, R. W.
core  

A vase of catenoids

open access: yes, 2016
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ...
Connor, Peter
core  

Base Editing in Peanut Using CRISPR/nCas9. [PDF]

open access: yesFront Genome Ed, 2022
Neelakandan AK   +5 more
europepmc   +1 more source

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