10: Theorema Egregium of Gauss

Question 1

K depends on E F G (and their ___) only

Answer 1

derivatives

Question 2

a local isometry preserves ___ curvature (converse not true)

Answer 2

Gauss

Question 3

Christoffel symbols are completely defined by E F G and their ___ derivatives

Answer 3

first

Question 4

Gauss curvature of hyperbolic half-plane is ___

Answer 4

-1