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Topology of Phi free Submanifolds
Date
2011-01-14
Author
Ünal, İbrahim
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https://hdl.handle.net/11511/79676
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A solution of the problem of topological classification of real cubic fourfolds is given. It is proven that the real locus of a real non-singular cubic fourfold is diffeomorphic either to a connected sum RP(4)#i(S(2) x S(2))# j(S(1) x S(3)) or to a disjoint union RP(4) (sic) S(4).
TOPOLOGY OF REAL SCHLAFLI SIX-LINE CONFIGURATIONS ON CUBIC SURFACES AND IN RP3
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A famous configuration of 27 lines on a non-singular cubic surface in P-3 contains remarkable subconfigurations, and in particular the ones formed by six pairwise disjoint lines. We study such six-line configurations in the case of real cubic surfaces from a topological viewpoint, as configurations of six disjoint lines in the real projective 3-space, and show that the condition that they lie on a cubic surface implies a very special property of homogeneity. This property distinguishes them in the list of 1...
Topology of phi-convex domains in calibrated manifolds
Ünal, İbrahim (2011-06-01)
In [5], Harvey and Lawson showed that for any calibration phi there is an integer bound for the homotopy dimension of a strictly phi-convex domain and constructed a method to get these domains by using phi-free submanifolds. Here, we show how to get examples of phi-free submanifolds with different homotopy types for the quaternion calibration in H(n), associative calibration, and coassociative calibration in G(2) manifolds. Hence we give examples of strictly phi-convex domains with different homotopy types ...
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İ. Ünal, “Topology of Phi free Submanifolds,” 2011, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/79676.