T. Friedrich

activity

19982008

most citedOn types of non-integrable geometries

48 citations · 200 across the 7 of their papers we have counts for

collaborators

Showing 1999Show all

4 papers · 1 filter

math.DG1999

Weak $S p in (9)$ -Structures on 16-dimensional Riemannian Manifolds

Thomas Friedrich

The aim of the present paper is the investigation of $S p in (9)$ -structures on 16-dimensional manifolds from the point of view of topology as well as holonomy theory. First we constr…

math.DG1999

Some Remarks on the Hijazi Inequality and Generalizations of the Killing Equation for Spinors

Thomas Friedrich, Eui Chul Kim

We generalize the well-known lower estimates for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold proved by Th. Friedrich (1980) and O. Hijazi (1986…

math.DG1999

A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curve

Thomas Friedrich

We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $- 4 d^{2} / d s^{2} + κ^{2} (s)$ with potential given by the curvature of a closed curve.

math.DG1999

Spin spaces, Lipschitz groups, and spinor bundles

Thomas Friedrich, Andrzej Trautman

It is shown that every bundle $Σ \to M$ of complex spinor modules over the Clifford bundle $\Cl(g)$ of a Riemannian space $(M, g)$ with local model $(V, h)$ is associated with…

Weak Spin(9)-Structures on 16-dimensional Riemannian Manifolds

Some Remarks on the Hijazi Inequality and Generalizations of the Killing Equation for Spinors

A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curve

Spin spaces, Lipschitz groups, and spinor bundles

Weak $S p in (9)$ -Structures on 16-dimensional Riemannian Manifolds