  Anisotropic flow is accredited to have effects from the initial state
geometry and fluctuations in the nuclear overlap region. The elliptic flow
($v_2$) and triangular flow ($v_3$) coefficients of the final state particles
are expected to have influenced by eccentricity ($\varepsilon_2$) and
triangularity ($\varepsilon_3$) of the participants, respectively. In this
work, we study $v_2$, $v_3$, $\varepsilon_2$, $\varepsilon_3$ and the
correlations among them with respect to event topology in the framework of a
multi-phase transport model (AMPT). We use transverse spherocity and reduced
flow vector as event shape classifiers in this study. Transverse spherocity has
the unique ability to separate events based on geometrical shapes, i.e., jetty
and isotropic, which pertain to pQCD and non-pQCD domains of particle
production in high-energy physics, respectively. We use the two-particle
correlation method to study different anisotropic flow coefficients. We
confront transverse spherocity with a more widely used event shape classifier
-- reduced flow vector ($q_n$) and they are found to have significant
(anti-)correlations among them. We observe significant spherocity dependence on
$v_2$, $v_3$ and $\varepsilon_2$. This work also addresses transverse momentum
dependent crossing points between $v_2$ and $v_3$, which varies for different
centrality and spherocity percentiles.
