Results 31 to 40 of about 378,330 (227)

Compact Riemannian Manifolds with Homogeneous Geodesics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
A homogeneous Riemannian space (M = G/H,g) is called a geodesic orbit space (shortly, GO-space) if any geodesic is an orbit of one-parameter subgroup of the isometry group G. We study the structure of compact GO-spaces and give some sufficient conditions
Dmitrii V. Alekseevsky, Yurii G. Nikonorov   +1 more
doaj   +1 more source

Sigma-models with complex homogeneous target spaces

EPJ Web of Conferences, 2016
We review the recently proposed class of σ-models with complex homogeneous target spaces, whose equations of motion admit zero-curvature representations.
Bykov Dmitri
doaj   +1 more source

More on the cardinality of a topological space

Applied General Topology, 2018
In this paper we continue to investigate the impact that various separation axioms and covering properties have onto the cardinality of topological spaces. Many authors have been working in that field.
M. Bonanzinga, N. Carlson, M. V. Cuzzupè, D. Stavrova   +3 more
doaj   +1 more source

Metric Entropy of Homogeneous Spaces

, 1997
For a (compact) subset $K$ of a metric space and $\varepsilon > 0$, the {\em covering number} $N(K , \varepsilon )$ is defined as the smallest number of balls of radius $\varepsilon$ whose union covers $K$.
Szarek, Stanislaw J.
core   +3 more sources

Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs

Entropy, 2019
Fokker–Planck PDEs (including diffusions) for stable Lévy processes (including Wiener processes) on the joint space of positions and orientations play a major role in mechanics, robotics, image analysis, directional statistics and ...
Remco Duits, Erik J. Bekkers, Alexey Mashtakov   +2 more
doaj   +1 more source

Geometric formality of homogeneous spaces and of biquotients

, 2009
We provide examples of homogeneous spaces which are neither symmetric spaces nor real cohomology spheres, yet have the property that every invariant metric is geometrically formal.
Besse, Dieter Kotschick, Husemoller, Kramer, Kuin’, Lundell, Mimura, Onishchik, Sullivan, Svjetlana Terzić, Takeuchi, Terzich, Totaro, Wolf, Wolf, Ōguchi   +15 more
core   +1 more source

Hausdorff operators on homogeneous spaces of locally compact groups

Журнал Белорусского государственного университета: Математика, информатика, 2020
Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
doaj   +1 more source

Some Notes of Homogeneous Besov–Lorentz Spaces

Journal of Mathematics, 2023
In this paper, we consider some properties of homogeneous Besov–Lorentz spaces. First, we get some relationship between B˙p0s,q,B˙p1s,qθ,r and Besov–Lorentz spaces, and then, we obtain the scaling property of B˙p,rs,q and F˙p,rs,q.
Zhenzhen Lou
doaj   +1 more source

Heterotic strings on homogeneous spaces

, 2004
We construct heterotic string backgrounds corresponding to families of homogeneous spaces as exact conformal field theories. They contain left cosets of compact groups by their maximal tori supported by NS-NS 2-forms and gauge field fluxes.
Aharony, Argurio, Atiyah, Bachas, Berglund, Borel, Callan, Callan, Chaudhuri, Eguchi, Eguchi, Ferrara, Forste, Gates, S. J., Gepner, Giveon, Giveon, Giveon, Gliozzi, Gnutzmann, Horowitz, Israel, Israël, Johnson, Kazama, Kazama, Kiritsis, Kobayashi, Kondo, Kounnas, Kutasov, Mueller-Hoissen, Nakahara, Perelomov, Prati, Quella, Tseytlin   +36 more
core   +2 more sources

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source