Curvatures and symmetries of tangent sphere bundles

• Autores: Jong Taek Cho, Jun-ichi Inoguchi
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 4, 2011, págs. 1125-1142
• Idioma: inglés
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• Resumen

  • This paper has two purposes. (1) Holomorphic sectional curvature and ?-sectional curvature of tangent sphere bundles are investigated. In particular, tangent sphere bundles of constant holomorphic sectional curvature or of constant ?-sectional curvature are classified. (2) Hypersurface geometry of tangent sphere bundles is developed. Tangent sphere bundles with pseudo-parallel shape operator or ?-parallel shape operator are classified