# Connected sums with HP^n or CaP^2 and the Yamabe invariant - Mathematics > Differential Geometry

Connected sums with HP^n or CaP^2 and the Yamabe invariant - Mathematics > Differential Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Let $M$ be a smooth closed $4k$-manifold whose Yamabe invariant $YM$ isnonpositive. We show that $$YM\sharp l \Bbb HP^k\sharp m \bar{\BbbHP^k}=YM,$$ where $l,m$ are nonnegative integers, and $\Bbb HP^k$ is thequaternionic projective space. When $k=4$, we also have $$YM\sharp lCaP^2\sharp m \bar{CaP^2}=YM,$$ where $CaP^2$ is the Cayley plane.

Autor: Chanyoung Sung

Fuente: https://arxiv.org/