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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…