Results 21 to 30 of about 773 (34)

Preferred Parameterisations on Homogeneous Curves [PDF]

, 2003
We show how to specify preferred parameterisations on a homogeneous curve in an arbitrary homogeneous space. We apply these results to limit the natural parameters on distinguished curves in parabolic geometries.Comment: 10 ...
Eastwood, Michael, Slovak, Jan
core   +1 more source

Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci Spaces

, 2008
We prove that spherical spectral analysis and synthesis hold in Damek-Ricci spaces and derive two-radius ...
A. Wawrzyńczyk, C. A. Berenstein, C. A. Berenstein, C. A. Berenstein, E. Damek, Evangelia Samiou, F. Rouvière, F. Trèves, J. Heber, J.-P. Anker, L. A. Caffarelli, L. Brown, L. Ehrenpreis, L. Schwartz, L. Zalcman, M. Flensted-Jensen, N. Peyerimhoff, Norbert Peyerimhoff, S. A. Williams, S. C. Bagchi, S. Helgason, S. T. Yau, T. H. Koornwinder, T. Kobayashi, W. F. Donoghue   +24 more
core   +1 more source

Corrigendum for "A geometric proof of the Karpelevich-Mostow theorem" [PDF]

, 2016
Corollary 2.3 in our paper "A geometric proof of the Karpelevich-Mostow theorem", Bull. Lond. Math. Soc. 41 (2009), no. 4, 634-638, is false. Here we give a counterexample and show how to avoid the use of this corollary to give a simpler proof of ...
Di Scala, Antonio J., Olmos, Carlos
core  

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
doaj   +1 more source

Tamed symplectic structures on compact solvmanifolds of completely solvable type [PDF]

, 2015
A compact solvmanifold of completely solvable type, i.e. a compact quotient of a completely solvable Lie group by a lattice, has a K\"ahler structure if and only if it is a complex torus.
Fino, Anna, Kasuya, Hisashi
core  

Randers Ricci soliton homogeneous nilmanifolds

, 2019
Let $F$ be a left invariant Randers metric on a simply connected nilpotent Lie group $N$, induced by a left invariant Riemannian metric ${\hat{\textbf{\textit{a}}}}$ and a vector field $X$ which is $I_{\hat{\textbf{\textit{a}}}}(M)$-invariant.
Moghaddam, Hamid Reza Salimi
core  

Health effects of European colonization: An investigation of skeletal remains from 19th to early 20th century migrant settlers in South Australia. [PDF]

PLoS One, 2022
Gurr A, Kumaratilake J, Brook AH, Ioannou S, Pate FD, Henneberg M.   +5 more
europepmc   +1 more source

Hypersurfaces in Hyperbolic Poincar\'e Manifolds and Conformally Invariant PDEs

, 2009
We derive a relationship between the eigenvalues of the Weyl-Schouten tensor of a conformal representative of the conformal infinity of a hyperbolic Poincar\'e manifold and the principal curvatures on the level sets of its uniquely associated defining ...
Bonini, Vincent, Espinar, José M., Qing, Jie   +2 more
core  

A duality theorem for harmonic maps into non-compact symmetric spaces and compact symmetric spaces

, 2019
In this note, we show that for any harmonic map into a non-compact symmetric space one can find naturally a "dual" harmonic map into a compact symmetric space which can be constructed from the same basic data (called "potentials" in the loop group ...
Dorfmeister, Josef F., Wang, Peng
core  

Nonlinear flag manifolds as coadjoint orbits. [PDF]

Ann Glob Anal Geom (Dordr), 2020
Haller S, Vizman C.
europepmc   +1 more source