TY  - JOUR
A1  - Bär, Christian
A1  - Dahl, Matthias
T1  - Small eigenvalues of the conformal laplacian
N2  - We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.
Y1  - 2003
UR  - http://xxx.uni-augsburg.de/abs/math.DG/0204200
ER  - 
TY  - JOUR
A1  - Bär, Christian
A1  - Moroianu, Sergiu
T1  - Heat kernel asymptotics for roots of generalized laplacians
N2  - We describe the heat kernel asymptotics for roots of a Laplace type operator on a closed manifold. A previously known relation between the Wodzicki residue and heat trace asymptotics is shown to hold pointwise for the corresponding densities.
Y1  - 2003
UR  - http://users.math.uni-potsdam.de/~baer/preprints/hta.html
ER  - 
TY  - JOUR
A1  - Bär, Christian
A1  - Schopka, Sven
T1  - The dirac determinant of spherical space forms
N2  - The zeta-regularized determinants of the Dirac operator and of its square are computed on spherical space forms. On S^2 the determinant of Dirac operators twisted by a complex line bundle is also calculated.
Y1  - 2003
UR  - http://users.math.uni-potsdam.de/~baer/preprints/determinante.html
ER  - 
TY  - BOOK
A1  - Camalès, Renaud
T1  - A Note on the Ramified Cauchy Problem
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2003
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - BOOK
A1  - Camalès, Renaud
T1  - Explicit formulation of the solution of hamada-leray-wagschalïs theorem
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2003
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - INPR
A1  - Camalès, Renaud
T1  - A note on the ramified Cauchy problem
N2  - In this paper, the ramified Cauchy problem in C² for operator with multiple characteristics of constant multiplicity and second member ramified around some analytic set is studied.
T3  - Preprint - (2003) 21 
KW  - Ramified Cauchy problem
KW  - analytic continuation
Y1  - 2003
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-26646
ER  - 
TY  - JOUR
A1  - Canfora, Fabrizio
A1  - Schmidt, Hans-Jürgen
T1  - Vacuum solutions which cannot be written in diagonal form
N2  - A vacuum solution of the Einstein gravitational field equation is shown to follow from a general ansatz but fails to follow from it if the symmetric matrix in it is assumed to be in diagonal form.
Y1  - 2003
UR  - http://arXiv.org/abs/gr-qc/0305107
ER  - 
TY  - JOUR
A1  - Changphas, Thawhat
A1  - Denecke, Klaus-Dieter
T1  - Green's Relations on the Seminearring of Full Hypersubstitutions of Type (n)
Y1  - 2003
ER  - 
TY  - JOUR
A1  - Changphas, Thawhat
A1  - Denecke, Klaus-Dieter
T1  - Complexity of Hypersubstitutions and Lattices of Varieties
Y1  - 2003
ER  - 
TY  - BOOK
A1  - Davis, Simon
T1  - The quantum cosmological wavefunction at very early times for a quadratic gravity theory
T3  - Preprint / Universität Potsdam, Institut für Mathematik, Arbeitsgruppe Partiell
Y1  - 2003
SN  - 1437-739X
PB  - Univ.
CY  - Potsdam
ER  -