Search
Search Results
-
Symplectic and Contact Geometry A Concise Introduction
This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other...
-
Contact and Symplectic Geometry
The even-dimensional moment-angle manifolds and the LVM-manifolds have the characteristic that, except for a few, well-determined cases, they do not...
-
On 2-Killing vector fields in almost contact metric geometry
We characterize a 2-Killing Reeb vector field of a contact metric manifold, we describe the 2-Killing vector fields pointwise collinear with the Reeb...
-
Contact Geometry of Slant Submanifolds
This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned...
-
The almost Schur Lemma in quaternionic contact geometry
We establish quaternionic contact (qc) versions of the so called Almost Schur Lemma, which give estimations of the qc scalar curvature on a compact...
-
A Generalization of Magnetic Curves in Contact Metric Geometry
In this paper we study some curves of a trans-Sasakian manifold that generalize magnetic curves.
-
Einstein-Weyl Structure and Contact Geometry
We study Einstein-Weyl structure on K -contact and contact metric manifolds satisfying certain condition on the Weyl curvature tensor and prove that...
-
Contact Manifolds
In the study of geometric aspects of classical mechanics, besides symplectic manifolds that are even dimensional, there are contact manifolds that...
-
From complex contact structures to real almost contact 3-structures
We prove that every complex contact structure gives rise to a distinguished type of almost contact metric 3-structure. As an application, we provide...
-
Contact-Projective Transformations of Almost Contact Metric Structure
In this paper, the problem on the transition from one almost contact metric structure to another in examined. We obtain conditions for the quadruple...
-
On the Geometry of Discrete Contact Mechanics
In this paper, we continue the construction of variational integrators adapted to contact geometry started in Vermeeren et al. (J Phys A...
-
Contact geometry in the restricted three-body problem: a survey
This survey is based on lecture notes for an online mini-course taught for postgraduate students at UDELAR, Montevideo, Uruguay, in November 2020,...
-
Bregman dynamics, contact transformations and convex optimization
Recent research on accelerated gradient methods of use in optimization has demonstrated that these methods can be derived as discretizations of...
-
Principles of Locally Conformally Kähler Geometry
This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results. A...
-
Contact and Self-contact in Large Strain
In many engineering applications, the elastic bodies in contact may undergo large transformations. In this case, a setting such as presented in Chap....
-
Problems of Extrinsic Geometry of Foliations
This survey is devoted to particular problems of extrinsic geometry of foliations, which, roughly speaking, describes how leaves (or single...
-
Classifications of Dupin hypersurfaces in Lie sphere geometry
This is a survey of local and global classification results concerning Dupin hypersurfaces in S n (or R n ) that have been obtained in the context of...
-
Special metrics and scales in parabolic geometry
Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some invariant conditions. In conformal geometry, for...
-
Time-dependent contact mechanics
Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order to...
-
On the Existence of \(\eta \) -Einstein Contact Metric Structures
The goal of this paper is two-fold: firstly, we give a necessary and sufficient condition for the existence of a transverse Einstein metric on a...