A new characterization of the sphere in $R^3$

• Autorzy: Thomas Hasanis
• Języki publikacji: EN

Abstrakty

EN

Let M be a closed connected surface in $R^3$ with positive Gaussian curvature K and let $K_II$ be the curvature of its second fundamental form. It is shown that M is a sphere if $K_II = c√HK^r$, for some constants c and r, where H is the mean curvature of M.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1980
• Tom: 38
• Numer: 1
• Strony: 47-49

Daty

wydano

1980

Twórcy

autor

Thomas Hasanis

• Ioannina, Greece