activity
19982005
most citedOn types of non-integrable geometries

48 citations · 81 across the 3 of their papers we have counts for

collaborators

13 papers

math.DG20057 cited

Nearly Kaehler and nearly parallel G_2-structures on spheres

Thomas Friedrich

In some other context, the question was raised how many nearly Kähler structures exist on the sphere equipped with the standard Riemannian metric. In this short note, we prov…

nlin.CD200426 cited

First experimental evidence for quantum echoes in scattering systems

C. Dembowski, B. Dietz, T. Friedrich +6

A self-pulsing effect termed quantum echoes has been observed in experiments with an open superconducting and a normal conducting microwave billiard whose geometry provides soft ch…

math.DG200248 cited

On types of non-integrable geometries

Thomas Friedrich

We study the types of non-integrable -structures on Riemannian manifolds. In particular, geometric types admitting a connection with totally skew-symmetric torsion are…

math.DG2001

Almost contact manifolds, connections with torsion and parallel spinors

Thomas Friedrich, Stefan Ivanov

We classify locally homogeneous quasi-Sasakian manifolds in dimension five that admit a parallel spinor of algebraic type with respect to the unique connection $…

math.DG2001

Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

Thomas Friedrich, Klaus-Dieter Kirchberg

We prove a new lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold by refined Weitzenböck techniques. It applies to manifolds with harm…

math.DG2000

New Solutions of the Einstein-Dirac Equation in Dimension n=3

Thomas Friedrich

The aim of this short note is to announce the existence of a one-parameter family of left-invariant metrics on admitting WK-spinors. This family contains the two non-Einstein…