JEDNOSTKA NAUKOWA KATEGORII A+

Some new characterizations of the Wulff shape

Guanghan Li, Weili Peng Colloquium Mathematicum MSC: Primary 53C24; Secondary 53C40. DOI: 10.4064/cm8695-3-2022 Opublikowany online: 12 September 2022

Streszczenie

We consider characterizations of a closed orientable connected hypersurface $X:M\to \mathbb R^{n+1}$ in terms of anisotropic higher order mean curvature, which is an extension of the usual mean curvature. On the one hand, we improve the result of Leyla Onat (2010) and remove the convexity condition there. On the other hand, we generalize the results on rigidity of standard spheres to the anisotropic setting and show that if $M$ satisfies some assumptions involving constant linear combinations of anisotropic mean curvatures or other relations, then it must be the Wulff shape, up to translations and homotheties.

Autorzy

  • Guanghan LiSchool of Mathematics and Statistics
    Wuhan University
    Wuhan, Hubei 430072, P.R. China
    e-mail
  • Weili PengSchool of Mathematics and Statistics
    Wuhan University
    Wuhan, Hubei 430072, P.R. China
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek