[图书][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 …
Conformal paracontact curvature and the local flatness theorem
S Ivanov, D Vassilev, S Zamkovoy - Geometriae Dedicata, 2010 - Springer
A curvature-type tensor invariant called para contact (pc) conformal curvature is defined on a
paracontact manifold. It is shown that a paracontact manifold is locally paracontact …
paracontact manifold. It is shown that a paracontact manifold is locally paracontact …
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
S Ivanov, D Vassilev - Nonlinear Analysis, 2015 - Elsevier
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 …
[PDF][PDF] The optimal constant in the Folland-Stein inequality on the quaternionic Heisenberg group
The optimal constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group
Page 1 Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 635-652 The optimal constant in …
Page 1 Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 635-652 The optimal constant in …
Quaternionic contact Einstein manifolds
The main result is that the qc-scalar curvature of a seven dimensional quaternionic contact
Einstein manifold is a constant. In addition, we characterize qc-Einstein structures with …
Einstein manifold is a constant. In addition, we characterize qc-Einstein structures with …
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg
group Page 1 ANALYSIS & PDE msp Volume 16 No. 3 2023 STEFAN IVANOV, IVAN MINCHEV …
group Page 1 ANALYSIS & PDE msp Volume 16 No. 3 2023 STEFAN IVANOV, IVAN MINCHEV …
A Bonnet–Myers type theorem for quaternionic contact structures
D Barilari, S Ivanov - Calculus of Variations and Partial Differential …, 2019 - Springer
Abstract We prove a Bonnet–Myers type theorem for quaternionic contact manifolds of
dimension bigger than 7. If the manifold is complete with respect to the natural sub …
dimension bigger than 7. If the manifold is complete with respect to the natural sub …
On conformal qc geometry, spherical qc manifolds and convex cocompact subgroups of
Y Shi, W Wang - Annals of Global Analysis and Geometry, 2016 - Springer
Conformal qc geometry of spherical qc manifolds is investigated. We construct the qc
Yamabe operators on qc manifolds, which are covariant under the conformal qc …
Yamabe operators on qc manifolds, which are covariant under the conformal qc …