K. Akutagawa

activity

20002009

most cited3-Manifolds with Yamabe invariant greater than that of $\RP^3$

26 citations · 27 across the 4 of their papers we have counts for

collaborators

Showing 2002Show all

2 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 $L^{\frac{n}{2}}$ …

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

The Weyl functional near the Yamabe invariant

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