DSpace Collection:
http://hdl.handle.net/10077/4158
2020-06-04T23:15:50ZTwistor methods in conformal almost symplectic geometry
http://hdl.handle.net/10077/4207
Title: Twistor methods in conformal almost symplectic geometry
Authors: Nannicini, Antonella
Abstract: Given a 2n-dimensional almost symplectic manifold $\left(M,\omega\right)$,
we consider the conformal class of $\omega$ and to each symplectic
connection, $\nabla$, we associate, in a natural way, a $e^{2\sigma}\omega$-symplectic
connection, $\nabla^{\sigma}$. We prove that the twistor bundle $Z\left(M,\omega\right):=\frac{P\left(M,Sp\left(2n\right)\right)}{U(n)}$,
with its canonical almost complex structure induced by $\nabla$,
is an invariant of the conformal class of $\left(\omega,\nabla\right)$.
Then we study the interplay between conformal properties of $\left(M,\omega\right)$
and complex properties of $Z\left(M,\omega\right)$, passing trough
the existence of special symplectic connections. Finally we prove
that, in the case of a special K$\ddot{\textrm{a}}$hler manifold,
the section of $Z\left(M,\omega\right)$ defined by the complex structure
of M is an almost complex submanifold with respect to a certain almost
complex structure on $Z\left(M,\omega\right)$.2002-01-01T00:00:00ZCardinal invariants for function spaces
http://hdl.handle.net/10077/4206
Title: Cardinal invariants for function spaces
Authors: Miranda, Annamaria
Abstract: Several function space topologies can be generated by a procedure defined by two parameters: a network on the domain and topology on the hyperspace of the range. Results about cardinal functions and metrizability for a particular class of such spaces are given.2002-01-01T00:00:00ZAsymptoptic behaviour of Sobolev constants for thin curved rods or pipes
http://hdl.handle.net/10077/4205
Title: Asymptoptic behaviour of Sobolev constants for thin curved rods or pipes
Authors: Marušić, Sania
Abstract: We study the Sobolev imbedding inequality in a curved rod or pipe
with a smooth central curve $\gamma$. Using the variational approach
and the two-scale convergence for thin domains we find the limit of
the Sobolev imbedding constant W$^{1,r}\hookrightarrow L^{q}$ as
$\epsilon$, the ratio between cross section diameter and the lenght
of the rod, tends to 0.2002-01-01T00:00:00ZMeasure and Integration: an attempt at unified systematization
http://hdl.handle.net/10077/4204
Title: Measure and Integration: an attempt at unified systematization
Authors: König, Heinz
Abstract: The Fundamentals for Set Functions. The Outer and Inner Extension Theorems. Consequences and Applications. The Fundamentals for Functionals. Comparison with the Traditional Daniell-Stone and Bourbaki Procedures.2002-01-01T00:00:00Z