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A class of biminimal Legendrian submanifolds in Sasakian space forms
Author(s) -
Sasahara Toru
Publication year - 2014
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200153
Subject(s) - mathematics , submanifold , pure mathematics , class (philosophy) , space (punctuation) , space form , mathematical analysis , artificial intelligence , linguistics , philosophy , computer science
A biminimal submanifold is a critical point of the bienergy functional for any normal variation. We give a complete description of all nonminimal biminimal Legendrian submanifolds in Sasakian space forms which are Legendrian H ‐umbilical.