Ricci flow and the sphere theorem/
Simon Brendle.
- Providence, R.I.: American Mathematical Society, c2010.
- vii, 176 p.; 27 cm.
- Graduate studies in mathematics; v. 111 .
- Graduate studies in mathematics; v. 111. .
Includes bibliographical references and index.
A survey of sphere theorems in geometry -- Hamilton's Ricci flow -- Interior estimates -- Ricci flow on S2 -- Pointwise curvature estimates -- Curvature pinching in dimension 3 -- Preserved curvature conditions in higher dimensions -- Convergence results in higher dimensions -- Rigidity resul .