26 citations · 26 across the 1 of their papers we have counts for
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3-Manifolds with Yamabe invariant greater than that of $\RP^3$
Kazuo Akutagawa, André Neves
We complete the classification (started by Bray and the second author) of all closed 3-manifolds with Yamabe invariant greater than that of $\RP^3$, by showing that such manifolds…
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 …
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…