Fefferman-Graham ambient metrics of Patterson-Walker metrics

The Ambient Metric Charles Fefferman and C. Robin Graham

Diffeomorphisms, Anomalies and the Fefferman-Graham Ambiguity ∗

Using the Weyl transfomations induced by diffeomorphisms we set up a cohomological problem for the Fefferman-Graham coefficients. The cohomologically nontrivial solutions remove the ambiguity and give the nonlocal terms in the effective action responsible for the trace anomalies.

Profile of Graham C. Walker.

When biologist Graham Walker was introduced to DNA during a biology course at Carleton University in Canada, it was fascination at first sight. “I thought DNA was the coolest molecule in the world and decided I wanted to work on it,” says the recently elected National Academy of Sciences member. Since then, Walker’s research has helped explicate the structure and function of proteins involved i...

On C3-Like Finsler Metrics

In this paper, we study the class of of C3-like Finsler metrics which contains the class of semi-C-reducible Finsler metric. We find a condition on C3-like metrics under which the notions of Landsberg curvature and mean Landsberg curvature are equivalent.

Generalized Douglas-Weyl Finsler Metrics

In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (&alpha, &beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.