152
edits
Changes
Jump to navigation
Jump to search
Line 14:
Line 14: + + +
no edit summary
from which one easily concludes that <math>c_1(TM) = c_1(K_M) = 0</math>.
from which one easily concludes that <math>c_1(TM) = c_1(K_M) = 0</math>.
==Calabi Conjecture==
The first Chern class of a Kaehler manifold is homologous to the Ricci curvature. For this reason, Calabi conjectured that when <math>c_1 = 0</math>, there existed a metric on the manifold whose Ricci form identically vanished. This, the Calabi-Conjecture, was eventually proven by Shing-Tung Yau.