English

On special submanifolds of the Page space

Differential Geometry 2018-10-22 v2 Mathematical Physics math.MP

Abstract

In this paper, 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.

Keywords

Cite

@article{arxiv.1608.03252,
  title  = {On special submanifolds of the Page space},
  author = {Mustafa Kalafat and Ramazan Sari},
  journal= {arXiv preprint arXiv:1608.03252},
  year   = {2018}
}

Comments

16 pages, 8 figures, Section 4 revised