We discuss the existence and non-existence of constant scalar curvature, as well extremal, Sasaki metrics. prove that natural Sasaki–Boothby–Wang manifold over admissible projective bundles local products non-negative CSC Kähler metrics, described in [3], always has a curvature (CSC) metric its Sasaki-Reeb cone. Moreover, we give examples show extremal Sasaki–Reeb cone, defined set vector field...

We construct an index theorem for smooth infinite economies that shows that generically the number of equilibria is odd. As a corollary, this gives a new proof of existence and gives conditions that guarantee global uniqueness of equilibria.

We present a simple proof of existence of subgame perfect equilibria in games with perfect information.

Lévy driven term structure models have become an important subject in the mathematical finance literature. This paper provides a comprehensive analysis of the Lévy driven Heath–Jarrow–Morton type term structure equation. This includes a full proof of existence and uniqueness in particular, which seems to have been lacking in the finance literature so far.