Dear all
I would like to inform you that, today Tuesday, 4 Khordad, there will
be a
seminar entitles(See attached file for an abstract):
Application of Systems of Second Order Di erential
Equations in Characterization of Totally Geodesic
Foliations
Presented by: Fatemeh Ahangari
زمان: سه شنبه 4 خرداد، 16:00-15:00
Abstract:
In this talk, we introduce the geometric theory of a dynamical system
described by a system of second order di erential equations, as the
geometry
one can derive from a special vector eld that exists on the tangent
bundle
of a manifold. These globally de ned vector elds are known as
semisprays.
Indeed, we have applied the metric associated to a system of second
order
di erential equations in order to determine a nonlinear connection
which is
compatible with this metric. We have induced SODE structure on the
leaves
of a foliation of a base manifold by this nonlinear connection.
Particularly,
we have found a new characterization of totally geodesic foliations.
These seminars are part of a series of weekly seminars with a title of
"Asre hendese" which are held at the mathematics department of IUST.
I
would like to remind you that we cover wide range of
subject from Geometry of manifolds, symmetry analysis and geometrical
origin of differential equations, application of computer algebra,
dynamical systems, Mathematical physics and so on and of course these
are
just few to name. If you are interested to give a talk, we
will be very happy to arrange that for you. Just send an email to Dr.
Nadjafikhah or to
eas...@iust.ac.ir
best regards
Dr. Esmaeel Asadi
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