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Ideal CR Submanifolds

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Geometry of Cauchy-Riemann Submanifolds

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Abstract

This chapter surveys some of the known results on \(\delta \)-ideal CR submanifolds in complex space forms, the nearly Kähler 6-sphere and odd dimensional unit spheres. In addition, the relationship between \(\delta \)-ideal CR submanifolds and critical points of the \(\lambda \)-bienergy functional is mentioned. Some topics about variational problem for the \(\lambda \)-bienergy functional are also presented.

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Authors and Affiliations

  1. Center for Liberal Arts and Sciences, Hachinohe Institute of Technology, Hachinohe, Aomori, 031-8501, Japan

    Toru Sasahara

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  1. Toru Sasahara
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Correspondence to Toru Sasahara .

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Editors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, Potenza, Italy

    Sorin Dragomir

  2. Dept. of Maths., Faculty of Natural Sci, Jamia Millia Islamia,, New Delhi, Delhi, India

    Mohammad Hasan Shahid

  3. Department of Mathematics, King Abdul Aziz University, Thuwal, Saudi Arabia

    Falleh R. Al-Solamy

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Sasahara, T. (2016). Ideal CR Submanifolds. In: Dragomir, S., Shahid, M., Al-Solamy, F. (eds) Geometry of Cauchy-Riemann Submanifolds. Springer, Singapore. https://doi.org/10.1007/978-981-10-0916-7_10

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