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math.DG2024
Minimal submanifolds and stability in Einstein manifolds
Mustafa Kalafat, Özgür Kelekçi, Mert Taşdemir
In this paper, we compute the index and nullity for minimal submanifolds of some complex Einstein spaces. We investigate the stability of these minimal submanifolds and suggest a c…
math.DG2022★ 1 cited
On Kähler Structures of Taub-NUT and Kerr Spaces
Özgür Kelekçi
In this paper, we study the Kählerian nature of Taub-NUT and Kerr spaces which are gravitational instanton and black hole solutions in general relativity. We show that Euclidean Ta…
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…