6 papers · 1 filter
The Yamabe invariants of orbifolds and cylindrical manifolds, and -harmonic spinors
Kazuo Akutagawa, Boris Botvinnik
We study the Yamabe invariants of cylindrical manifolds and compact orbifolds with a finite number of singularities, by means of conformal geometry and the Atiyah-Patodi-Singer $L^…
The Weyl functional near the Yamabe invariant
Kazuo Akutagawa, Boris Botvinnik, Osamu Kobayashi +1
For a compact manifold of , we study two conformal invariants of a conformal class on . These are the Yamabe constant and the …
Conformal Laplacian and Conical Singularities
Boris Botvinnik, Serge Preston
We study a behavior of the conformal Laplacian operator on a manifold with \emph{tame conical singularities}: when each singularity is given as a cone over a product of the s…
Yamabe metrics on cylindrical manifolds
Kazuo Akutagawa, Boris Botvinnik
We study a particular class of open manifolds. In the category of Riemannian manifolds these are complete manifolds with cylindrical ends. We give a natural setting for the conform…
Relative Yamabe Invariant
Kazuo Akutagawa, Boris Botvinnik
We define a relative Yamabe invariant of a smooth manifold with given conformal class on its boundary. In the case of empty boundary the invariant coincides with the classic Yamabe…
On Rigidly Scalar-Flat Manifolds
Boris Botvinnik, Brett McInnes
Witten and Yau (hep-th/9910245) have recently considered a generalisation of the AdS/CFT correspondence, and have shown that the relevant manifolds have certain physically desirabl…