On stability and the convergence of the Kähler-Ricci flow

On Stability and the Convergence of the Kähler-ricci Flow

The normalized Kähler-Ricci flow exists for all times, and converges when the first Chern class is negative or zero [4, 35]. However, when the first Chern class is positive, there are very few known cases of convergence. In one complex dimension, Hamilton [19] used entropy estimates to show convergence under the assumption of an initial metric of everywhere positive scalar curvature. This last ...

the effects of changing roughness on the flow structure in the bends

flow in natural river bends is a complex and turbulent phenomenon which affects the scour and sedimentations and causes an irregular bed topography on the bed. for the reason, the flow hydralics and the parameters which affect the flow to be studied and understand. in this study the effect of bed and wall roughness using the software fluent discussed in a sharp 90-degree flume bend with 40.3cm ...

Ricci Flow on Kähler-einstein Surfaces

on translation of phatic communion and socio-cultural relationships between the characters of the novels

phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...

0 Ricci flow on Kähler - Einstein surfaces