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第4講 The Rigidity of the Sphere
課程影音
L4A
L4A
1.Theorem: A Compact Surface Has an Elliptic Point
L4B
1.Theorem: A Compact Connected Surface with Constant
Gauss Curvature Is a Sphere
2.Lemma: Three Conditions of a Point to Be an Umbilical Point
3.Proof: A Compact Connected Surface with Constant Gauss Curvature Is
a Sphere
L4C
1.Proof: A Compact Connected Surface with Constant Gauss Curvature
Is a Sphere (cont.)
2.Proof: Three Conditions of a Point to Be an Umbilical Point
1.Theorem: A Compact Surface Has an Elliptic Point
L4B
1.Theorem: A Compact Connected Surface with Constant
Gauss Curvature Is a Sphere
2.Lemma: Three Conditions of a Point to Be an Umbilical Point
3.Proof: A Compact Connected Surface with Constant Gauss Curvature Is
a Sphere
L4C
1.Proof: A Compact Connected Surface with Constant Gauss Curvature
Is a Sphere (cont.)
2.Proof: Three Conditions of a Point to Be an Umbilical Point