Ideal CR Submanifolds

Toru Sasahara ()
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Toru Sasahara: Hachinohe Institute of Technology, Center for Liberal Arts and Sciences

Chapter Chapter 10 in Geometry of Cauchy-Riemann Submanifolds, 2016, pp 289-310 from Springer

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

Keywords: CR submanifolds; $$\delta $$ δ -invariants; $$\delta $$ δ -ideal submanifolds; $$\lambda $$ λ -biharmonic submanifolds; 53C42; 53B25 (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-10-0916-7_10

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DOI: 10.1007/978-981-10-0916-7_10

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