EXTRINSIC GEODESICS AND HYPERSURFACES OF TYPE (A) IN A COMPLEX PROJECTIVE SPACE

• MAEDA SADAHIRO

  Department of Mathematics, Saga University

• ADACHI TOSHIAKI

  Department of Mathematics, Nagoya Institute of Technology

抄録

In a complex projective space, we distinguish hypersurfaces of type $({\rm A}_1)$ from hypersurfaces of type $({\rm A}_2)$ in terms of the cardinality of congruence classes of their extrinsic geodesics.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 60 (4), 597-605, 2008

  東北大学大学院理学研究科数学専攻

キーワード

• Hypersurfaces of type (A)
• geodesic spheres
• hypersurfaces of type $({\\ m A}_2)$
• ruled real hypersurfaces
• complex projective spaces
• normal section
• integral curves of the characteristic vector field
• geodesics
• extrinsic geodesics
• structure torsion
• normal curvature

詳細情報

• CRID: 1390282680094603520
• NII論文ID: 110006981096
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1232376168
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2487827
• 本文言語コード: en
• データソース種別:
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