Proceedings of the American Mathematical Society, Vol. 139, No. 12 (DECEMBER 2011), pp. 4475-4486 (12 pages) Let M⁴ be a PL-manifold of nonnegative curvature that is homeomorphic to a product of two ...

A classical question in Riemannian geometry is to ask “from what geometric information about the Riemannian manifold can one determine the metric?”. For 2-dimensional, compact, simple manifolds with ...

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 ...

This is a preview. Log in through your library . Abstract In this paper it is shown that a harmonic Riemannian foliation of a Riemannian manifold can be characterized as being a critical point of the ...