# A new characterization of the sphere in ${R}^{3}$

Annales Polonici Mathematici (1980)

- Volume: 38, Issue: 1, page 47-49
- ISSN: 0066-2216

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topThomas Hasanis. "A new characterization of the sphere in $R^3$." Annales Polonici Mathematici 38.1 (1980): 47-49. <http://eudml.org/doc/265975>.

@article{ThomasHasanis1980,

abstract = {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.},

author = {Thomas Hasanis},

journal = {Annales Polonici Mathematici},

keywords = {characterization of the sphere; Gaussian curvature; curvature of its second fundamental form},

language = {eng},

number = {1},

pages = {47-49},

title = {A new characterization of the sphere in $R^3$},

url = {http://eudml.org/doc/265975},

volume = {38},

year = {1980},

}

TY - JOUR

AU - Thomas Hasanis

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

JO - Annales Polonici Mathematici

PY - 1980

VL - 38

IS - 1

SP - 47

EP - 49

AB - 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.

LA - eng

KW - characterization of the sphere; Gaussian curvature; curvature of its second fundamental form

UR - http://eudml.org/doc/265975

ER -

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