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dc.contributor Graduate Program in Mathematics.
dc.contributor.advisor Değer, Nihat Sadık.
dc.contributor.author Demir, Ümmühan.
dc.date.accessioned 2023-03-16T11:21:41Z
dc.date.available 2023-03-16T11:21:41Z
dc.date.issued 2015.
dc.identifier.other MATH 2015 D47
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/15285
dc.description.abstract In this thesis, our aim is to understand all possible calibrated submanifolds of Rn for n 7. We start with basic de nitions and tools that are used throughout this thesis. Then we study the general theory of calibrated geometries and give some interesting examples of them, following the historical development of the subject. After examining calibrations on Rn with dimensions one, two, n{u100000}1, and n{u100000}2 for arbitrary n, we focus on the nontrivial cases: classi cation of 3-dimensional calibrations on R6 and R7. On R6, we have four types of calibrations, namely special Lagrangian, Kahler, single point and double point calibrations. on R7 in addition to these four cases, we get six new types, which are called as associative, CP2, double CP1, S1, S2 and S3 calibrations.
dc.format.extent 30 cm.
dc.publisher Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2015.
dc.subject.lcsh Calibration.
dc.title Classification of calibrations on Rn for n 7
dc.format.pages ix, 52 leaves ;


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