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

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

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

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

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

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