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

100%

Hasanis T.

Annales Polonici Mathematici

1980

tom 38

nr 1

47-49

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.

Characterizations of the sphere by the curvature of the second fundamental form

51%

Hasanis T.

Colloquium Mathematicum

1982

tom 46

nr 1

41-44

On convex hypersurfaces in $E^{n+1}$

32%

Hasanis T.

Colloquium Mathematicum

1984

tom 48

nr 1

49-55

Ograniczanie wyników

2 Colloquium Mathematicum

1 Annales Polonici Mathematici

3 Hasanis T.

1 1984

1 1982

1 1980

Wyniki wyszukiwania

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

Characterizations of the sphere by the curvature of the second fundamental form

On convex hypersurfaces in $E^{n+1}$