We show that the moduli space of metrics of nonnegative sectional curvature on every homotopy $\R P^5$ has infinitely many path components. We also show that in each dimension $4k+1$ there are at least $2^{2k}$ homotopy $\R P^{4k+1}$s of pairwise distinct oriented diffeomorphism type for which the moduli space of metrics of positive Ricci curvature has infinitely many path components. Examples of closed manifolds with finite fundamental group with these properties were known before only in dimensions $4k+3\geq 7$
Abstract. We show by explicit examples that in many degrees in a stable range the homotopy groups of...
We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal o...
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved us...
We show that in each dimension $4n+3$, $n\ge 1$, there exist infinite sequences of closed smooth si...
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental gr...
We study spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sect...
We use invariants related to η invariants of Dirac operators to distinguish path components of modul...
We show that the moduli space of Ricci positive metrics on a certain family of homotopy spheres has ...
We show that the moduli space of Ricci positive metrics on a certain family of homotopy spheres has ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved us...
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. Th...
We show that the space RpRc(W2ng ) of metrics with positive Ricci curvature on the manifold W2ng :=...
Abstract. We show by explicit examples that in many degrees in a stable range the homotopy groups of...
We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal o...
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved us...
We show that in each dimension $4n+3$, $n\ge 1$, there exist infinite sequences of closed smooth si...
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental gr...
We study spaces and moduli spaces of Riemannian metrics with non-negative Ricci or non-negative sect...
We use invariants related to η invariants of Dirac operators to distinguish path components of modul...
We show that the moduli space of Ricci positive metrics on a certain family of homotopy spheres has ...
We show that the moduli space of Ricci positive metrics on a certain family of homotopy spheres has ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
The observer moduli space of Riemannian metrics is the quotient of the space R(M) of all Riemannian ...
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved us...
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. Th...
We show that the space RpRc(W2ng ) of metrics with positive Ricci curvature on the manifold W2ng :=...
Abstract. We show by explicit examples that in many degrees in a stable range the homotopy groups of...
We investigate the curvature of invariant metrics on G-manifolds with finitely many non-principal o...
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved us...