starshaped
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English
[
edit
]
Adjective
[
edit
]
starshaped
(
not
comparable
)
Having the
shape
of a
star
(with radiating points)
2015
, Yingxiang Hu, Hongwei Xu, “An Eigenvalue Pinching Theorem for Compact Hypersurfaces in A Sphere”, in
arXiv
[1]
:
Furthermore,
ϕ
(
M
)
{\displaystyle \phi (M)}
is
starshaped
with respect to
p
0
{\displaystyle p_{0}}
, Hausdorff close and almost-isometric to the geodesic sphere
S
(
p
0
,
R
0
)
{\displaystyle S(p_{0},R_{0})}
, where
R
0
=
arcsin
1
1
+
‖
H
‖
∞
2
{\displaystyle R_{0}=\arcsin {\frac {1}{\sqrt {1+\|H\|_{\infty }^{2}}}}}
.
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