2,264 research outputs found
On the moduli space of positive Ricci curvature metrics on homotopy spheres
We show that the moduli space of Ricci positive metrics on certain homotopy
spheres has infinitely many connected components.Comment: 28 pages, 11 figures. The text has been substantially re-written to
improve the expositio
Positive Ricci curvature on highly connected manifolds
For let be a -connected closed manifold. If
mod assume further that is -parallelisable. Then
there is a homotopy sphere such that admits a
Ricci positive metric. This follows from a new description of these manifolds
as the boundaries of explicit plumbings.Comment: Corrected some minor typos and changed document class to amsart. The
new document class added 10 pages, so the paper is now now 46 page
Environmental factors giving rise to variations in national management accounting practice
Comparative national management accounting is the least developed aspect in the field of international accounting. Only during the second half of the 1990's some comparisons of national management accounting practice have appeared published but only at the regional level. In this paper a range of factors that give rise to variations in national management accounting practice are postulated. We support this list with examples from a range of analyses of national management accounting practices, drawing particularly on the work of Lizcano (1996) and Bhimani (1996). Finally, twelve key factors are identified as influencing an individual country's approach to management accounting.Management accounting, international accounting
Path-component invariants for spaces of positive scalar curvature metrics
The Kreck-Stolz s-invariant is a classic path-component invariant for the space and moduli space of positive scalar curvature metrics. It is an absolute (as opposed to relative) invariant, but this strength comes at the expense of being defined only under restrictive topological conditions. The aim of this paper is to construct an analogous invariant for certain product manifolds on which the s-invariant is not defined
Non-negative versus positive scalar curvature
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics. We illustrate this by providing explicit generalizations of some classical results concerning moduli spaces of positive scalar curvature metrics. We also present the first examples of manifolds with infinitely many path-components of Ricci non-negative metrics in both
the compact and non-compact cases
On G-manifolds with finitely many non-principal orbits
We consider a compact Lie group G acting smoothly on a compact manifold M. The
cohomogeneity of such an action is the dimension of the space of orbits M/G
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