7 citations · 33 across the 15 of their papers we have counts for
18 papers
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…
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…
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…
A family of cohomological complex projective spaces
Mustafa Kalafat
We exhibit a family of complex manifolds, which has a member at each odd complex dimension and which has the same cohomology groups as the complex projective space at that dimensio…
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…
On special submanifolds of the Page space
Mustafa Kalafat, Ramazan Sari
In this paper, we study some classes of submanifolds of codimension one and two in the Page space. These submanifolds are totally geodesic. We also compute their curvature and show…
Conformally Kähler surfaces and orthogonal holomorphic bisectional curvature
Mustafa Kalafat, Caner Koca
We show that a compact complex surface which admits a conformally Kähler metric g of positive orthogonal holomorphic bisectional curvature is biholomorphic to the complex projectiv…
Algebraic topology of manifolds
Selman Akbulut, Mustafa Kalafat
In this paper we give a survey of various results about the topology of oriented Grassmannian bundles related to the exceptional Lie group G_2. Some of these results are new. We gi…
Compact Complex Surfaces of Locally Conformally Flat Type
Mustafa Kalafat, Caner Koca
We show that if a compact complex surface admits a locally conformally flat metric, then it cannot contain a smooth rational curve of odd self-intersection. In particular, the surf…
Locally conformally flat and self-dual structures on simple 4-manifolds
Mustafa Kalafat
This is a survey article on the existence of locally conformally flat(LCF) and self-dual(SD) metrics on various basic 4-manifolds like simply-connected ones or product types
On the curvature of Einstein-Hermitian surfaces
Mustafa Kalafat, Caner Koca
We give a mathematical exposition of the Page metric, and introduce an efficient coordinate system for it. We carefully examine the submanifolds of the underlying smooth manifold,…
Complex and Symplectic Structures on Panelled Web 4-Manifolds
Hülya Argüz, Mustafa Kalafat
We analyze the symplectic and complex structures on the panelled web 4-manifolds. In particular, we give infinite family of examples of almost complex but not symplectic and not co…
Self-Dual metrics on non-simply connected 4-manifolds
Hülya Argüz, Mustafa Kalafat, Yıldıray Ozan
We construct self-dual(SD) but not locally conformally flat(LCF) metrics on families of non-simply connected 4-manifolds with small signature. We construct various sequences with b…
Hyperkähler manifolds with circle actions and the Gibbons-Hawking Ansatz
Mustafa Kalafat, Justin Sawon
We show that a complete simply-connected hyperkaehler 4-manifold with an isometric triholomorphic circle action is obtained from the Gibbons-Hawking ansatz with some suitable harmo…
A class of locally conformally flat 4-manifolds
Selman Akbulut, Mustafa Kalafat
We construct infinite families of non-simply connected locally conformally flat (LCF) 4-manifolds realizing rich topological types. These manifolds have strictly negative scalar cu…
Deformations of Scalar-Flat Anti-Self-Dual metrics and Quotients of Enriques Surfaces
Mustafa Kalafat
In this article, we prove that a quotient of a K3 surface by a free Z_2+Z_2 action does not admit any metric of positive scalar curvature. This shows that the scalar flat anti self…
Geometric Invariant Theory and Einstein-Weyl Geometry
Mustafa Kalafat
In this article, we give a survey of Geometric Invariant Theory for Toric Varieties, and present an application to the Einstein-Weyl Geometry. We compute the image of the Minitwist…
Scalar Curvature and Connected Sums Of Self-Dual 4-Manifolds
Mustafa Kalafat
Under a vanishing hypothesis, Donaldson and Friedman proved that the connected sum of two self-dual Riemannian 4-Manifolds is again self-dual. Here we prove that the same result ca…