On the existence and nonexistence of extremal metrics on toric Kähler surfaces

Extremal metrics on toric surfaces, I

The datum σ yields a measure dσ on the boundary ∂P—on each edge E we take dσ to be a constant multiple of the standard Lebesgue measure with the constant normalised so that the mass of the edge is σ(E). Equally, the datum σ specifies an affine-linear defining function λE for each edge E, i.e. the edge lies in the hyperplane λ E (0). We choose an inward-pointing normal vector v at a point of E w...

Numerical approximations to extremal metrics on toric surfaces

This is a report on numerical work on extremal Kahler metrics on toric surfaces, using the ideas developed in [3]. These are special Riemannian metrics on manifolds of 4 real, or 2 complex dimensions. They can be regarded as solutions of a fourth order partial differential equation for a convex function on a polygon. We refer to the preceding article [4] for further background. Motivation for t...

Constant scalar curvature metrics on toric surfaces

on the effect of linear & non-linear texts on students comprehension and recalling

چکیده ندارد.

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...