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Inequalities for Algebraic Casorati Curvatures and Their Applications II

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Hermitian–Grassmannian Submanifolds

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 203))

Abstract

Different kind of algebraic Casorati curvatures are introduced. A result expressing basic Casorati inequalities for algebraic Casorati curvatures is presented and equality cases are discussed. As their applications, basic Casorati inequalities for different \(\delta \)-Casorati curvatures for different kind of submanifolds of quaternionic space forms are presented.

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Authors and Affiliations

  1. Department of Mathematics and RIRCM, Kyungpook National University, Daegu, 41566, Republic of Korea

    Young Jin Suh

  2. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India

    Mukut Mani Tripathi

Authors
  1. Young Jin Suh
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  2. Mukut Mani Tripathi
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Correspondence to Mukut Mani Tripathi .

Editor information

Editors and Affiliations

  1. Department of Mathematics and RIRCM, Kyungpook National University , Daegu, Korea (Republic of)

    Young Jin Suh

  2. Department of Mathematics and OCAMI, Osaka City University, Osaka, Japan

    Yoshihiro Ohnita

  3. School of Mathematics and Statistics, Southwest University, Chongqing, China

    Jiazu Zhou

  4. Department of Applied Mathematics, Kyung Hee University, Gyeonggi, Korea (Republic of)

    Byung Hak Kim

  5. Research Institute of Real and Complex Manifolds (RIRCM), Kyungpook National University, Daegu, Korea (Republic of)

    Hyunjin Lee

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Suh, Y.J., Tripathi, M.M. (2017). Inequalities for Algebraic Casorati Curvatures and Their Applications II. In: Suh, Y., Ohnita, Y., Zhou, J., Kim, B., Lee, H. (eds) Hermitian–Grassmannian Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 203. Springer, Singapore. https://doi.org/10.1007/978-981-10-5556-0_16

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