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Vorträge im OS Analysis in Geometrie und Physik
Duistermaat [1.3]...
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Vorträge im FS Differentialgeometrie
Dirac-harmonic maps are critical points of an energy functional that involes both the harmonic energy and a spinorial contribution. We will discuss the evolution equations associated to a regularized version of this energy functional.In the first part of ...
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Vorträge im Seminar Hyperbolische Geometrie
Unverbindbarkeit von Geraden und Eigenschaften der Realation "randparallel" für Geraden ...
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Vorträge im OS Analysis in Geometrie und Physik
Duistermaat [1.1,1.2]...
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Vorträge im FS Differentialgeometrie
In the semiclassical limit, eigenfunctions of Schrödinger operators become "local", i.e. they get concentrated at single points. We develop some calculus of Taylor Expansions on manifolds and use it to solve the appearing differential equations asymptoti...
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Vorträge im FS Differentialgeometrie
It is well nown that Riemannian metrics of constant curvature are isolated points in the premoduli space of Einstein structures, i.e. the metric cannot be nontrivially deformed such that it stays einstein.
We will see that the same is true if the {tex}$L...
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Vorträge im FS Differentialgeometrie
I will explain how eta-invariants enter into index formulas concerning certain noncompact manifolds and will present some explicit results.
(Haus 8, Raum 0.53)...
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Vorträge im FS Differentialgeometrie
I will report on a joint project with Christoph Stephan.
We consider Dirac operators induced by torsion connections and compute the Chamseddine-Connes spectral action for the corresponding generalized Laplacians. Incorporating chiral projections produces...
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Vorträge im FS Differentialgeometrie
I will explain these constructions for mathematicians and present some new results and open problems. In particular, I will show how to construct explicit examples of complete quaternionic Kähler manifolds from cubic surfaces.
(Haus 8, Raum 0.59)...
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Vorträge im FS Differentialgeometrie
Fix a compact smooth manifold without boundary. One of the intensively studied questions of global Riemannian geometry is: "is there a metric of positive scalar curvature on M, and if so, how many". A more precise variant of the second part is: what ca...
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Vorträge im FS Differentialgeometrie
I will briefly discuss two simple analytical estimates for eigenfunctions that allow to use computer algebra to establish eigenvalue inclusions and non-inclusions on hyperbolic surfaces within small intervals. It is then demonstrated how the spectral dete...
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Vorträge im FS Differentialgeometrie
We will describe how Lie 2-groups and the associated notion of principal 2-bundles can be used to realise degree three cohomology classes geometrically. One important example will be the canonical 3-class on a compact simple Lie group. The geometric re...
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Vorträge im Seminar Geometrie
Morse-Ungleichungen, Morse-Funktionen, Morse-Lemma (ohne Beweis)
[R, 183-192, Prop. 9.18]...
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Vorträge im Seminar Geometrie
[H]...
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Vorträge im OS Analysis in Geometrie und Physik
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Vorträge im OS Analysis in Geometrie und Physik
X.7 in [1]...
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Vorträge im OS Analysis in Geometrie und Physik
Section X.7 in [1]...
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Vorträge im OS Analysis in Geometrie und Physik
Section X.7 in [1]...
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Vorträge im FS Differentialgeometrie
{tex}
Let $L$ be a self-adjoint Laplace type operator on a vector bundle $E$ over a compact riemannian manifold $M$. We are interested in the eigenvalues and eigenfunctions of the operator $\hbar^2 L + V$ in the semiclassical limit $\hbar \to 0$, where $...
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Vorträge im Seminar Geometrie
[H]...
