3 papers
math.AT2019
Algebraic Topology of Special Lagrangian Manifolds
Mustafa Kalafat, Eyüp Yalçınkaya
In this paper, we prove various results on the topology of the Grassmannian of oriented 3-planes in Euclidean 6-space and compute its cohomology ring. We give self-contained proofs…
math.DG2018
Free immersions and panelled web 4-manifolds
Mustafa Kalafat
We show that if a compact, oriented 4-manifold admits a coassociative-free immersion into the Euclidean 7-space then its Euler characteristic and signature vanish. Moreover, in the…
math.DG2018
Locally conformally flat metrics on surfaces of general type
Mustafa Kalafat, Özgür Kelekçi
We prove a nonexistence theorem for product type manifolds. In particular we show that the 4-manifold does not admit any locally conformally flat metric arising from…