A holographic principle for the existence of imaginary Killing spinors

After recalling some elementary features of nearly K¨ahler geometry in Section 2, we show in Section 3 that any Killing vector field of unit length induces a transversal

This together with a recent result of Knieper [27] giving sufficient conditions for no conjugate points on a complete non-compact Riemannian manifold with hyperbolic geodesic flow

of (simply connected) Spin 0 manifolds with parallel spinors [23] allow us to show that every Spin 0 structure carrying Kahlerian Killing spinors (of special algebraic form) has to

Shen , Complete manifolds with nonnegative Ricci curvature and large volume growth, Invent. Shen, Complete manifolds with nonnegative cur- vature and quadratically nonnegative

By the structure theorem for convex sets in riemannian manifolds, we know in particular that A and A' are topological manifolds with (possibly empty) boundary whose interior is

3. A sharp positive mass theorem for asymptotically hyperbolic manifolds with compact inner boundary In this section, we state and give the proof of our main result. For the sake

Spin c structures, K¨ahlerian Killing Spin c spinors, isometric immersions, complex and Lagrangian surfaces, Dirac

We extend the Friedrich inequality for the eigenvalues of the Dirac operator on Spin c manifolds with boundary under different boundary conditions.. The limiting case is then