In mathematics, a Brieskorn manifold or Brieskorn–Phạm manifold, introduced by Egbert Brieskorn (1966, 1966b), is the intersection of a small sphere around the origin with the singular, complex hypersurface

${\displaystyle x_{1}^{k_{1))+\cdots +x_{n}^{k_{n))=0}$

studied by Frédéric Pham (1965).

Brieskorn manifolds give examples of exotic spheres.^[1][2]