Metrics
Biography
Bahar KIRIK RÁCZ's main research interests lie
in differential geometry and its applications to physics such as in general
relativity theory. She studied several mathematical structures of 4-dimensional
spaces admitting a metric of arbitrary signature. In particular, the isotropy subalgebras and the possible algebraic types of
the Ricci and Weyl tensors are determined for 4- dimensional spaces admitting
Killing vector fields, where the signature of the metric of the ambient space
was allowed to be arbitrary. She did several researches on the tensor analysis
over pseudo-Riemannian manifolds, e. g., the full characterization of second
order, recurrent, symmetric and anti-symmetric tensor fields on 4-dimensional
spaces of arbitrary signature has been given by using the holonomy theory. She also worked on some special
mappings such as conformal, conharmonic and special vector fields over special
pseudo-Riemann manifolds like Einstein and its generalizations in arbitrary
dimensions. She got her PhD at Istanbul Technical University, Department of
Mathematical Engineering in 2016 where she was also a research assistant
between 2010-2016. She has been working at Marmara University, Department of
Mathematics since 2018 where she got an associate professor position from
February, 2020.