Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

Permanent URI for this collectionhttps://hdl.handle.net/11147/7148

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Language: search.filters.language.enSubject: search.filters.subject.Duality

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  • Article
    S- and T-Self in Dilatonic F(r) Theories
    (Springer Verlag, 2017) Rador, Tonguç; 01. Izmir Institute of Technology
    We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S- or T-self-dualities. The theories we find are free of Ostrogradsky instabilities. We also show that within the framework we are confining ourselves, a theory of the form mentioned above cannot have both T- and S-dualities except for the case where the action is linear in the scalar curvature.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 7
    A New Approach To the Generation of Retractable Plate Structures Based on One-Uniform Tessellations
    (The American Society of Mechanical Engineers(ASME), 2017) Gazi Gezgin, Aylin; Korkmaz, Koray; Korkmaz, Koray; 02.02. Department of Architecture; 02. Faculty of Architecture; 01. Izmir Institute of Technology
    Retractable plate structure (RPS) is a family of structures that is a set of cover plates connected by revolute joints. There exists wide range of possibilities related with these structures in architecture. Configuring the suitable shape of rigid plates that are able to be enclosed without any gaps or overlaps in both closed and open configurations and eliminating the possibility of contact between the plates during the deployment have been the most important issues in RPS design process. Many researchers have tried to find the most suitable shape by using kinematical or empirical analysis so far. This study presents a novel approach to find the suitable shape of the plates and their assembly order without any kinematical or empirical analysis. This approach is benefited from the one-uniform mathematical tessellation technique that gives the possibilities of tiling a plate using regular polygons without any gaps or overlaps. In the light of this technique, the shape of the plates is determined as regular polygons and two conditions are introduced to form RPS in which regular polygonal plates are connected by only revolute joints. It should be noted that these plates are not allowed to become overlapped during deployment and form gaps in closed configuration. Additionally, this study aims to reach a single degreeof- freedom (DoF) RPS. It presents a systematic method to convert multi-DoF RPS into single DoF RPS by using the similarity between graph theory and the duality of tessellation.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    Weighted Bloch, Lipschitz, Zygmund, Bers, and Growth Spaces of the Ball: Bergman Projections and Characterizations
    (Elsevier Ltd., 2011) Kaptanoğlu, Hakkı Turgay; Tülü, Serdar; 01. Izmir Institute of Technology
    We determine precise conditions for the boundedness of Bergman projections from Lebesgue classes onto the spaces in the title, which are members of the same one-parameter family of spaces. The projections provide integral representations for the functions in the spaces. We obtain many properties of the spaces as straightforward corollaries of the projections, integral representations, and isometries among the spaces. We solve the Gleason problem and an extremal problem for pointevaluations in each space. We establish maximality of these spaces among those that exhibit Mobius-type invariances and possess decent functionals. We find new Hermitiannon-Kahlerian metrics that characterize half of these spaces by Lipschitz-type inequalities.