Curvature pinching for totally real submanifolds of a complex projective space

• MATSUYAMA Yoshio

  Department of Mathematics Chuo University

Abstract

Montiel, Ros and Urbano [{M3}] showed a complete characterization of compact totally real minimal submanifold M of CPⁿ(c) with Ricci curvature S of M satisfying S≥q 3(n-2)c/16. The purpose of this paper is to answer Ogiue's conjecture which the above result remains true under the weaker condition of the scalar curvature ρ of M satisfying ρ≥q 3n(n-2)c/16.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 52 (1), 51-64, 2000

  The Mathematical Society of Japan

Keywords

• Complex projective space
• totally real submanifold
• minimal submanifold
• parallel second fundamental submanifold

Details

• CRID: 1390282680092699136
• NII Article ID: 10004480001
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05210051
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1727200
• NDL BIB ID: 4974628
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4974628
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed