B. Botvinnik

activity

19992002

collaborators

Showing 2002Show all

3 papers · 1 filter

math.DG2002

The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^{2}$ -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^…

math.DG2002

The Weyl functional near the Yamabe invariant

Kazuo Akutagawa, Boris Botvinnik, Osamu Kobayashi +1

For a compact manifold $M$ of $dim M = n \geq 4$ , we study two conformal invariants of a conformal class $C$ on $M$ . These are the Yamabe constant $Y_{C} (M)$ and the $L^{\frac{n}{2}}$ …

math.DG2002

Conformal Laplacian and Conical Singularities

Boris Botvinnik, Serge Preston

We study a behavior of the conformal Laplacian operator $Ł_{g}$ on a manifold with \emph{tame conical singularities}: when each singularity is given as a cone over a product of the s…

The Yamabe invariants of orbifolds and cylindrical manifolds, and L2-harmonic spinors

The Weyl functional near the Yamabe invariant

Conformal Laplacian and Conical Singularities

The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^{2}$ -harmonic spinors