On special submanifolds of the Page space

Abstract: Page manifold is the underlying differentiable manifold of the complex surface, obtained out of the process of blowing up the complex projective plane, only once. This space is decorated with a natural Einstein metric, first studied by D.Page in 1978.

In this talk, we study some classes of submanifolds of codimension one and two in the Page space. These submanifolds are totally geodesic. We also compute their curvature and show that some of them are constant curvature spaces.

Finally, we give information on how the Page space is related to some other metrics on the same underlying smooth manifold.

This talk is based on joint work with R.Sarı.

Related paper may be accessed from arxiv.org/abs/1608.03252

Kalafat, Sarı - On special submanifolds of the Page space.
Differential Geom. Appl. To appear. 2020.

algebraic geometryalgebraic topologydifferential geometrygeometric topologymetric geometry

Audience: researchers in the topic

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Geometry-Topology Seminar

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