Riemannian geometry provides a foundational framework in which the intrinsic properties of smooth manifolds are studied through the lens of metric structures. At its core, this field is dedicated to ...

We introduce generalized partially linear models with covariates on Riemannian manifolds. These models, like ordinary generalized linear models, are a generalization of partially linear models on ...

Eigenvalue problems on Riemannian manifolds lie at the heart of modern geometric analysis, bridging the gap between differential geometry and partial differential equations. In this framework, the ...

Riemannian manifolds or geodesic metric spaces of finite or infinite dimension occur in many areas of mathematics. We are interested in the interplay between their local geometry and global ...

In this paper we prove that the moduli space of metrics with positive scalar curvature of an orientable compact three-manifold is path-connected. The proof uses the Ricci flow with surgery, the ...

We are delighted that Dr. Philipp Reiser joins our Cluster as a new Young Research Fellow. He is motivated by the long-standing question of how the topology and geometry of Riemannian manifolds ...