کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840085 1470507 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven
چکیده انگلیسی

A version of Lichnerowicz’ theorem giving a lower bound of the eigenvalues of the sub-Laplacian on a compact seven dimensional quaternionic contact manifold is proved assuming a lower bound on the Sp(1)Sp(1)Sp(1)Sp(1)-components of the qc-Ricci curvature and the positivity of the PP-function of any eigenfunction. The introduced PP-function and nonlinearCC-operator are motivated by the Paneitz operators defined previously in the Riemannian and CR settings and the PP-function used in the theory of elliptic partial differential equations. It is shown that in the case of a seven dimensional compact 3-Sasakian manifold the lower bound is reached iff the quaternionic contact manifold is the round 3-Sasakian sphere.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 93, December 2013, Pages 51–61
نویسندگان
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