Explicit geodesic graphs on some H-type groups

Dušek, Zdeněk

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Displaying similar documents to “Explicit geodesic graphs on some H-type groups”

Geodesic graphs on special 7-dimensional g.o. manifolds

Zdeněk Dušek, Oldřich Kowalski (2006)

Archivum Mathematicum

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In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds in dimension 7, Differential Geom. Appl. 21 (2004), 65–78.), the present authors and S. Nikčević constructed the 2-parameter family of invariant Riemannian metrics on the homogeneous manifolds $M = [SO (5) \times SO (2)] / U (2)$ and $M = [SO (4, 1) \times SO (2)] / U (2)$ . They proved that, for the open dense subset of this family, the corresponding Riemannian manifolds are g.o. manifolds which are not naturally reductive. Now we are going to investigate the remaining...

Products of Geodesic Graphs and the Geodetic Number of Products

Jake A. Soloff, Rommy A. Márquez, Louis M. Friedler (2015)

Discussiones Mathematicae Graph Theory

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Given a connected graph and a vertex x ∈ V (G), the geodesic graph Px(G) has the same vertex set as G with edges uv iff either v is on an x − u geodesic path or u is on an x − v geodesic path. A characterization is given of those graphs all of whose geodesic graphs are complete bipartite. It is also shown that the geodetic number of the Cartesian product of Km,n with itself, where m, n ≥ 4, is equal to the minimum of m, n and eight.

Homogeneous geodesics in a three-dimensional Lie group

Rosa Anna Marinosci (2002)

Commentationes Mathematicae Universitatis Carolinae

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O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at least one homogeneous geodesic, i.eȯne geodesic which is an orbit of a one-parameter group of isometries. In [KNV] the related two problems were studied and a negative answer was given to both ones: (1) Let $M = K / H$ be a homogeneous Riemannian manifold where $K$ is the largest connected group of isometries and $dim M \geq 3$ . Does $M$ always admit more than one homogeneous geodesic? (2) Suppose that $M = K / H$ admits $m = dim M$ linearly...

On properties of geodesic $η$ -preinvex functions.

Ahmad, I., Iqbal, Akhlad, Ali, Shahid (2009)

Advances in Operations Research

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Generalized midset properties characterize geodesic circles and intervals

L. D. Loveland, J. E. Valentine (1978)

Colloquium Mathematicae

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Riemannian Submersions of Compact Simple Lie Groups with Connected Totally Geodesic Fibres.

Akhil Ranjan (1986)

Mathematische Zeitschrift

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Some properties of geodesic semi E-b-vex functions

Adem Kiliçman, Wedad Saleh (2015)

Open Mathematics

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In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.

Displaying similar documents to “Explicit geodesic graphs on some H-type groups”

Geodesic graphs on special 7-dimensional g.o. manifolds

Products of Geodesic Graphs and the Geodetic Number of Products

Homogeneous geodesics in a three-dimensional Lie group

On properties of geodesic η -preinvex functions.

Generalized midset properties characterize geodesic circles and intervals

Riemannian Submersions of Compact Simple Lie Groups with Connected Totally Geodesic Fibres.

Some properties of geodesic semi E-b-vex functions

On properties of geodesic $η$ -preinvex functions.