[BOOK][B] Extremals for the Sobolev inequality and the quaternionic contact Yamabe problem
SP Ivanov, DN Vassilev - 2011 - books.google.com
The aim of this book is to give an account of some important new developments in the study
of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally …
of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally …
An explicit formula of Cauchy-Szegő kernel for quaternionic Siegel upper half space and applications
In this paper we obtain an explicit formula of the Cauchy-Szegő kernel for quaternionic
Siegel upper half space, and then based on this, we prove that the Cauchy-Szegő projection …
Siegel upper half space, and then based on this, we prove that the Cauchy-Szegő projection …
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 …
Conformal quaternionic contact curvature and the local sphere theorem
A tensor invariant is defined on a quaternionic contact manifold in terms of the curvature and
torsion of the Biquard connection involving derivatives up to third order of the contact form …
torsion of the Biquard connection involving derivatives up to third order of the contact form …
Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
A complete solution to the quaternionic contact Yamabe problem on the seven dimensional
sphere is given. Extremals for the Sobolev inequality on the seven dimensional Heisenberg …
sphere is given. Extremals for the Sobolev inequality on the seven dimensional Heisenberg …
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 sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold
The main technical result of the paper is a Bochner type formula for the sub-Laplacian on a
quaternionic contact manifold. With the help of this formula we establish a version of …
quaternionic contact manifold. With the help of this formula we establish a version of …
The Szegö kernel for k-CF functions on the quaternionic Heisenberg group
Y Shi, W Wang - Applicable Analysis, 2017 - Taylor & Francis
Abstract The tangential k-Cauchy–Fueter operator and the k-CF functions on the
quaternionic Heisenberg group are quaternionic counterparts of the tangential CR operator …
quaternionic Heisenberg group are quaternionic counterparts of the tangential CR operator …
Cauchy–Szegö commutators on weighted Morrey spaces
Z Fu, R Gong, E Pozzi, Q Wu - Mathematische Nachrichten, 2023 - Wiley Online Library
In the setting of quaternionic Heisenberg group H n− 1 \mathcalH^n-1, we characterize the
boundedness and compactness of commutator b, C b,C for the Cauchy–Szegö operator CC …
boundedness and compactness of commutator b, C b,C for the Cauchy–Szegö operator CC …
The tangential k-Cauchy–Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group
We construct the tangential k-Cauchy–Fueter complexes on the right quaternionic
Heisenberg group, as the quaternionic counterpart of ∂ _b∂¯ b-complex on the …
Heisenberg group, as the quaternionic counterpart of ∂ _b∂¯ b-complex on the …