On symplectic 8-manifolds admitting Spin(7)-structure

2020-01-01
Yalcinkaya, Eyup
Ünal, İbrahim
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
200
views
0
downloads
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 Spin(7)-structure.
Calibrations, Special holonomy, Symplectic manifolds
https://hdl.handle.net/11511/57257
TURKISH JOURNAL OF MATHEMATICS
Department of Mathematics, Article

Suggestions

On the Krall-type polynomials on q-quadratic lattices
Alvarez-Nodarse, R.; Adiguzel, R. Sevinik (Elsevier BV, 2011-08-01)
In this paper, we study the Krall-type polynomials on non-uniform lattices. For these polynomials the second order linear difference equation, q-basic series representation and three-term recurrence relations are obtained. In particular, the q-Racah-Krall polynomials obtained via the addition of two mass points to the weight function of the non-standard q-Racah polynomials at the ends of the interval of orthogonality are considered in detail. Some important limit cases are also discussed. (C) 2011 Royal Net...
A specific type of permutation and complete permutation polynomials over finite fields
Ongan, Pinar; GÜLMEZ TEMÜR, BURCU (World Scientific Pub Co Pte Lt, 2020-04-01)
In this paper, we study polynomials of the form f(x) = x (qn-1/q-1+1) + bx is an element of F-qn[x], where n = 5 and list all permutation polynomials (PPs) and complete permutation polynomials (CPPs) of this form. This type of polynomials were studied by Bassalygo and Zinoviev for the cases n = 2 and n = 3, Wu, Li, Helleseth and Zhang for the case n = 4, p not equal 2, Bassalygo and Zinoviev answered the question for the case n = 4, p= 2 and finally by Bartoli et al. for the case n = 6. Here, we determine a...
On bounded and unbounded operators
Uyanık, Elif; Yurdakul, Murat Hayrettin; Department of Mathematics (2017)
In this thesis we study on bounded and unbounded operators and obtain some results by considering $ell$-K"{o}the spaces. As a beginning, we introduce some necessary and sufficient conditions for a Cauchy Product map on a smooth sequence space to be continuous and linear and we consider its transpose. We use the modified version of Zahariuta's method to obtain analogous results for isomorphic classification of Cartesian products of K"{o}the spaces. We also investigate the SCBS property and show that all sepa...
Almost p-ary sequences
Ozden, Busra; Yayla, Oğuz (Springer Science and Business Media LLC, 2020-11-01)
In this paper we study almost p-ary sequences and their autocorrelation coefficients. We first study the number l of distinct out-of-phase autocorrelation coefficients for an almost p-ary sequence of period n + s with s consecutive zero-symbols. We prove an upper bound and a lower bound on l. It is shown that l can not be less than min{s,p,n}. In particular, it is shown that a nearly perfect sequence with at least two consecutive zero symbols does not exist. Next we define a new difference set, partial dire...
Generating the surface mapping class group by torsion elements
Yıldız, Oğuz; Korkmaz, Mustafa; Department of Mathematics (2020-12-24)
n this thesis, we study generators of the mapping class groupMod(Σg)of a closedconnected orientable surfaceΣgof genusg. The mapping class groupMod(Σg)isknown to be generated by three involutions ifg≥8and by two torsion elements oforder4g+ 2. We show that the mapping class group is also generated by three involutions for sur-faces with smaller genera and by two torsion elements of smaller orders.
Citation Formats
E. Yalcinkaya and İ. Ünal, “On symplectic 8-manifolds admitting Spin(7)-structure,” TURKISH JOURNAL OF MATHEMATICS, pp. 1792–1801, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57257.
METU IIS - Integrated Information Service open@metu.edu.tr