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...
From minimal surfaces to calibrated submanifolds
Ünal, İbrahim (null; 2019-12-28)
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...
Similarities between Complex and Calibrated Geometries
Ünal, İbrahim (2015-05-16)
Critical Values of Calibrations and MinimalSubmanifolds
Ünal, İbrahim (2015-01-05)
On a calibrated manifold M with differential p-form ϕ as the calibration, calibrated submanifolds i.e. ϕ-submanifolds are globally volume minimizing in their homology classes. Thus, they are a very good source of minimal s...
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...
Kalibre Edilmiş Manifoldlarda Potansiyel Teorisi
Ünal, İbrahim (2014-08-29)
Harvey ve Lawson tarafından kompleks manifoldlardaki potansiyel teorinin kalibre edilmiş manifoldlara genellemesi, bu tür özel manifoldların yapısını anlamakta yeni teknikler kazandırdı. Bunlardan biri de bu tür manifoldla...
Fiber Structures of Special 4 3 1 Warped like Manifolds with Spin 7 holonomy
Ünal, İbrahim (2014-06-13)
Phi critical Submanifolds of Calibrated Manifolds
Ünal, İbrahim (2014-03-23)
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