On special submanifolds of the Page space |
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Affiliation: | 1. Nesin Mathematics Village, Kayser Dağı Mevkii, Şirince, Selçuk, 35920 İzmir, Turkey;2. Amasya Üniversitesi, Gümüşhacıköy Hasan Duman MYO, 05700 Amasya, Turkey |
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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. |
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Keywords: | Einstein metrics Hermitian metrics Kähler metrics Minimal submanifold Totally geodesic |
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