On a characteristic of the first eigenvalue of the Dirac operator on compact spin symmetric spaces with a Kähler or Quaternion-Kähler structure

Jean-Francois Grosjean, Emmanuel Humbert. The first eigenvalue of Dirac and Laplace operators on surfaces.. the Dirac operator) with respect to the metric ˜ g.. We

Such new domains have small volume and are close to geodesic balls centered at a nondegenerate critical point of the scalar curvature of the manifold (the existence of at least

In an unpub- lished paper, Perelman proved that the scalar curvature and diameter are always uniformly bounded along the K¨ ahler-Ricci flow, and he announced that if there exists a

In Section 2 we make the necessary computations concerning the Riemannian structure on the frame manifold and its two-fold covering P\ In Section 3 we relate the index density of

Joyce has build many new K¨ahler, Ricci flat metrics on some crepant resolution of quotient of C m by a finite subgroup of SU (m) ; his construction relies upon the resolution of

Sicbaldi in [16], a new phenomena appears: there are two types of extremal domains, those that are the complement of a small perturbed geodesic ball centered at a nondegenerate

This result by Reilly is a generalization, to Riemannian mani- folds of class (R, 0) (R > 0), of the well known theorem by Lichnerowicz [18 ] and Obata [21], which says that

— Let M be a compact manifold (with boundary) which is isometric to a domain of an n-dimensional simply connected complete Riemannian manifold with sectional curvature bounded