- submanifolds. (The same goes for a more
general concept,
holomorphic bisectional curvature.) For example,
every complex submanifold of Cn (with the induced...
-
Edwards was born with
oesophageal atresia,
which is
responsible for the
bisectional scar on her stomach, and anosmia. As a child, she
underwent several operations...
-
Kobayashi introduced an
extension of this quantity,
called the
holomorphic bisectional curvature; its
input is a pair of
holomorphic two-dimensional planes...
- Yau, the
result states that if a
closed Kähler
manifold has
positive bisectional curvature, then it must be
biholomorphic to
complex projective space...
-
lower bound on
Ricci curvature) to a
Hermitian manifold with
holomorphic bisectional curvature bounded above by a
negative number.[Y78b]
Cheng and Yau extensively...
-
Goldberg and
Shoshichi Kobayashi to
allow positivity of the
holomorphic bisectional curvature.
Inspired by work of René Thom,
Frankel and Aldo Andreotti...
- (1990). "Complete
noncompact Kähler
manifolds with
positive holomorphic bisectional curvature". Bull. Am. Math. Soc. New Ser. 23 (2): 437–440. doi:10...
-
uniformization theorem for
compact Kähler
manifolds of
nonnegative holomorphic bisectional curvature. J.
Differential Geom. 27 (1988), no. 2, 179–214. doi:10.4310/jdg/1214441778...
