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İbrahim Ünal

Department of Mathematics
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On symplectic 8-manifolds admitting Spin(7)-structure
Yalcinkaya, Eyup; Ünal, İbrahim (2020-01-01)
In this paper we study symplectic 8-manifolds admitting Spin(7) - structure. We give examples and show that many of the symplectic 8-manifolds constructed by Pasquotto satisfy the Chern number relations required to admit a...
A note on the Gauss maps of Cayley-free embeddings into spin(7)-manifolds
Ünal, İbrahim (Elsevier BV, 2018-12-01)
We show that a closed, orientable 4-manifold M admits a Cayley-free embedding into flat Spin(7)-manifold R-8 if and only if both the Euler characteristic chi(M) and the signature tau(M) of M vanish.
h-Principle phi-free embeddings in calibrated manifolds
Ünal, İbrahim (2015-06-01)
In this paper, we prove that the h-principle holds for phi-free embeddings for coassociative, Cay ley and quaternionic calibrations. As a result, we show that for coassocative calibration *partial derivative, an orientable...
Fiber structures of special (4+3+1) warped-like manifolds with Spin(7) holonomy
UĞUZ, SELMAN; Ünal, İbrahim (World Scientific Pub Co Pte Lt, 2014-09-01)
L generalization of 8-dimensional multiply-warped product manifolds is considered as a special warped product, by allowing the fiber metric to be non-block diagonal. Motivating from the previous paper [S. Uguz and A. H. Bi...
A note on critical values of calibrations
Ünal, İbrahim (2013-02-01)
In this paper, we prove that phi-critical submanifolds of a calibrated manifold X with calibration phi is an element of Omega(k) (X) are locally volume minimizing i.e. stably minimal if the positive (or negative) critical ...
Topology of phi-convex domains in calibrated manifolds
Ünal, İbrahim (2011-06-01)
In [5], Harvey and Lawson showed that for any calibration phi there is an integer bound for the homotopy dimension of a strictly phi-convex domain and constructed a method to get these domains by using phi-free submanifold...