7 papers
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…
Algebraic Aspects of the Theory of Product Structures in Complex Cobordism
B. Botvinnik, V. Buchstaber, S. Novikov +1
We address the general classification problem of all stable associative product structures in the complex cobordism theory. We show how to reduce this problem to the algebraic one…
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…