The subelliptic heat kernels of the quaternionic Hopf fibration
The main goal of this work is to study the sub-Laplacian of the unit sphere which is obtained
by lifting with respect to the Hopf fibration the Laplacian of the quaternionic projective space …
by lifting with respect to the Hopf fibration the Laplacian of the quaternionic projective space …
The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds
We report on some aspects and recent progress in certain problems in the sub-Riemannian
CR and quaternionic contact (QC) geometries. The focus are the corresponding Yamabe …
CR and quaternionic contact (QC) geometries. The focus are the corresponding Yamabe …
The lichnerowicz–obata theorem on sub-riemannian manifolds with transverse symmetries
We prove a lower bound for the first eigenvalue of the sub-Laplacian on sub-Riemannian
manifolds with transverse symmetries. When the manifold is of H H-type, we obtain a …
manifolds with transverse symmetries. When the manifold is of H H-type, we obtain a …
The Obata sphere theorems on a quaternionic contact manifold of dimension bigger than seven
On a compact quaternionic contact (qc) manifold of dimension bigger than seven and
satisfying a Lichnerowicz type lower bound estimate we show that if the rst positive …
satisfying a Lichnerowicz type lower bound estimate we show that if the rst positive …
A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold
A Petkov - arxiv preprint arxiv:1404.4377, 2014 - arxiv.org
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 …
lower bound of the first non-zero eigenvalue of the sub-Laplacian on a compact seven …