A LICHNEROWICZ-TYPE RESULT ON A SEVEN-DIMENSIONAL QUATERNIONIC CONTACT MANIFOLD

Authors

  • Alexander Petkov

Keywords:

3-Sasakian, First Eigenvalue, Lichnerowicz Inequality, Quaternionic Contact Structures, Sub-Laplacian

Abstract

In this paper we establish an analogue of the classical Lichnerowicz' theorem giving a sharp lower bound of the first non-zero eigenvalue of the sub-Laplacian on a compact seven-dimensional quaternionic contact manifold, assuming a lower bound of the qc-Ricci tensor, torsion tensor and its distinguished covariant derivatives.

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Published

2013-12-12

How to Cite

Petkov, A. (2013). A LICHNEROWICZ-TYPE RESULT ON A SEVEN-DIMENSIONAL QUATERNIONIC CONTACT MANIFOLD. Ann. Sofia Univ. Fac. Math. And Inf., 101, 193–213. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/239

Issue

Vol. 101 (2013): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles