Yoshiaki Maeda

collaborators

3 papers

math.DG2025

The Geometry of Loop Spaces V: Fundamental Groups of Geometric Transformation Groups

Yoshiaki Maeda, Steven Rosenberg

We use differential forms on loop spaces to prove that the fundamental group of certain geometric transformation groups is infinite. Examples include both finite and infinite dimen…

math.DG2025

The Geometry of Loop Spaces IV: Closed Sasakian Manifolds

Yoshiaki Maeda, Steven Rosenberg

We prove that a closed regular $(4 k + 1)$ -Sasakian manifold $(M, h_{0})$ admits a family of non-isometric metrics $h_{I ¨} , I ¨ \geq 0,$ such that $I ¨ _{1} (Isom (M, h_{I ¨} ))$ , the fundamenta…

math.DG2024

The Geometry of Loop Spaces II: Corrections

Yoshiaki Maeda, Steven Rosenberg, FabiÃ¡n Torres-Ardila

This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main chang…