Kalafat, Mustafa; Koca, Caner

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 surface has to be minimal. Moreover, we give a list of possibilities of such surfaces.

AtıfWoS1

İncele

Akbulut, Selman; Kalafat, Mustafa

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 give self-contained proofs here. One often encounters these spaces when studying submanifolds of manifolds with calibrated geometries. For the sake of completeness we decided to collect them here in a self-contained way to be easily accessible for future usage in calibrated geometry. As an application we deduce existence of certain special 3 and 4 dimensional submanifolds of G(2) manifolds with special properties, which appear in the first named author's work with S. Salur about G(2) dualities. (C) 2015 Elsevier GmbH. All rights reserved.

AtıfWoS7

İncele

Kalafat, Mustafa; Ozan, Yildiray; Arguez, Hulya

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 bounded or unbounded Betti numbers and Euler characteristic. These metrics have negative scalar curvature. As an application, this is used to address Remark 4.79 of [1]. (C) 2012 Elsevier B.V. All rights reserved.

AtıfWoS3·OpenAlex6

İncele