Conformally closed Finsler spaces.
Matsumoto, Makoto (1999)
Balkan Journal of Geometry and its Applications (BJGA)
J. Mickelsson, J. Niederle (1975)
Annales de l'I.H.P. Physique théorique
Christian Duval, Pierre Lecomte, Valentin Ovsienko (1999)
Annales de l'institut Fourier
We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold . In other words, we establish a canonical isomorphism between the spaces of polynomials on and of differential operators on tensor densities over , both viewed as modules over the Lie algebra where . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the weights yielding...
Gouli-Andreou, Florence, Tsolakidou, Niki (2004)
Beiträge zur Algebra und Geometrie
Giovanni Calvaruso (2010)
Archivum Mathematicum
We study conformally flat Lorentzian three-manifolds which are either semi-symmetric or pseudo-symmetric. Their complete classification is obtained under hypotheses of local homogeneity and curvature homogeneity. Moreover, examples which are not curvature homogeneous are described.
S.-T. Yau, R. Schoen (1988)
Inventiones mathematicae
Giovanni Calvaruso (2006)
Czechoslovak Mathematical Journal
We give the complete classification of conformally flat pseudo-symmetric spaces of constant type.
Giovanni Calvaruso (2005)
Archivum Mathematicum
We obtain the complete classification of conformally flat semi-symmetric spaces.
Jean-Marie Morvan, Georges Zafindratafa (1986/1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
John Douglas Moore (1977)
Mathematische Annalen
Hana Chudá, Josef Mikeš (2011)
Archivum Mathematicum
In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds and , i.e. mappings satisfying , where are conformal mappings and is a geodesic mapping. Suppose that the initial condition is satisfied at a point and that at this point the conformal Weyl tensor does not vanish. We prove that then is necessarily conformal.
Gazeau, J. P., Hans, M. (1989)
Proceedings of the Winter School "Geometry and Physics"
Novica Blažić (2005)
Kragujevac Journal of Mathematics
W. Roter (1975)
Colloquium Mathematicae
Mohamed Afwat (1976)
Časopis pro pěstování matematiky
R. Seeley (1990)
Colloquium Mathematicae
J.-P. Bourguignon, A. Deschamps, P. Sentenac (1972)
Annales scientifiques de l'École Normale Supérieure
Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka (2009)
Annales de l'I.H.P. Analyse non linéaire
Yuri L. Sachkov (2010)
ESAIM: Control, Optimisation and Calculus of Variations
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is studied. Local and global optimality of extremal trajectories is characterized. Lower and upper bounds on the first conjugate time are proved. The cut time is shown to be equal to the first Maxwell time corresponding to the group of discrete symmetries of the exponential mapping. Optimal synthesis on an open dense subset of the state space is described.
F. Dillen, K. Nomizu, L. Vranken (1990)
Monatshefte für Mathematik