On the four vertex theorem in planes with radial density $e^{φ(r)}$

• Autorzy: Doan The Hieu , Tran Le Nam
• Języki publikacji: EN

Abstrakty

EN

It is shown that in a plane with a radial density the four vertex theorem holds for the class of all simple closed curves if and only if the density is constant. On the other hand, for the class of simple closed curves that are invariant under a rotation about the origin, the four vertex theorem holds for every radial density.

Kategorie tematyczne

• 53A04: Curves in Euclidean space
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 113
• Numer: 1
• Strony: 169-174

Daty

wydano

2008

Twórcy

autor

Doan The Hieu

• College of Education, Hue University, 34 Le Loi, Hue, Vietnam

autor

Tran Le Nam

• College of Education, Hue University, 34 Le Loi, Hue, Vietnam

Identyfikatory

DOI

10.4064/cm113-1-10