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Ali Ulaş Özgür Kişisel

Department of Mathematics
Scopus Author ID
A note on the products (1(mu)+1)(2(mu)+1) ... (n(mu)+1)
Guerel, Erhan; Kişisel, Ali Ulaş Özgür (2010-01-01)
Let Omega(mu)(n) = (1(mu) + 1)(2(mu) + 1) ... (n(mu) + 1) where mu >= 2 is an integer. We prove that Omega(3)(n) is never squarefull, and in particular never a square, using arguments similar to those in J. Cilleruelo (200...
Cotton flow
Kişisel, Ali Ulaş Özgür; Sarıoğlu, Bahtiyar Özgür; Tekin, Bayram (IOP Publishing, 2008-8-5)
Using the conformally-invariant Cotton tensor, we define a geometric flow, the Cotton flow, which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat ...
A family of deployable polygons and polyhedra
Kiper, Goekhan; Söylemez, Eres; Kişisel, Ali Ulaş Özgür (Elsevier BV, 2008-05-01)
A new linkage type for resizing polygonal and polyhedral shapes is proposed. The single degree-of-freedom planar linkages considered mainly consist of links connected by revolute joints. It is shown that the group of mecha...
On quadratic Poisson brackets
Kişisel, Ali Ulaş Özgür (AIP Publishing, 2005-04-01)
In this paper, we present a method for constructing large families of quadratic Poisson brackets on a manifold using more elementary brackets on a different manifold. The method is then applied to several examples of compl...
Polyomino convolutions and tiling problems
Kişisel, Ali Ulaş Özgür (Elsevier BV, 2001-08-01)
We define a convolution operation on the set of polyominoes and use it to obtain a criterion for a given polyomino not to tile the plane (rotations and translations allowed). We apply the criterion to several families of p...