Xiaole Su

On the Blaschke's Conjecture

The Blaschkes conjecture asserts that if

Generalized packing radius theorems of Alexandrov spaces with curvature ≥ 1

\diam(M)=\text{Inj}(M)=\frac\pi2

On Blaschke’s conjecture

(up to a rescaling) for a complete Riemannian manifold

TOPONOGOV-TYPE AREA COMPARISON THEOREM OF 2-DIMENSIONAL MANIFOLDS

M

ON ALMOST ISOMETRY THEOREM IN ALEXANDROV SPACES WITH CURVATURE BOUNDED BELOW 1; 2

, then

An isometrical ℂP n -theorem

M

An Isometrical

is isometric to

{\Bbb C\Bbb P}^{n}

\Bbb S^n(\frac12)

-Theorem

,

On

{\Bbb R\Bbb P}^{n}