Search

Your search keyword '"Uwe Semmelmann"' showing total 2 results
Start Over Author "Uwe Semmelmann" Journal mathematische zeitschrift
2 results on '"Uwe Semmelmann"'

1. Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds

Author

W. Kramer, Gregor Weingart, and Uwe Semmelmann

Subjects
Momentum operator, Dirac measure, General Mathematics, Position operator, Mathematical analysis, Dirac algebra, Clifford analysis, Dirac operator, symbols.namesake, Spectral asymmetry, symbols, Mathematics::Differential Geometry, Quaternionic projective space, Mathematics::Symplectic Geometry, Mathematics, Mathematical physics
Abstract

We consider the Dirac operator on compact quaternionic Kahler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the quaternionic projective space.

Published
1999
Full Text
View/download PDF

2. Conformal Killing forms on Riemannian manifolds.

Author

Uwe Semmelmann

Subjects
VECTOR fields, KERNEL functions, MANIFOLDS (Mathematics), MATHEMATICS
Abstract

Conformal Killing forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We show the existence of conformal Killing forms on nearly Kähler and weak G 2-manifolds. Moreover, we give a complete description of special conformal Killing forms. A further result is a sharp upper bound on the dimension of the space of conformal Killing forms. [ABSTRACT FROM AUTHOR]

Published
2003
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results