### On null geodesic collineations in some Riemannian spaces

W. Roter (1974)

Colloquium Mathematicae

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W. Roter (1974)

Colloquium Mathematicae

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Gerald H. Katzin, Jack Levine (1972)

Colloquium Mathematicae

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

Advances in Operations Research

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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 $M=\left[\mathrm{SO}\right(5)\times \mathrm{SO}(2\left)\right]/\mathrm{U}\left(2\right)$ and $M=\left[\mathrm{SO}\right(4,1)\times \mathrm{SO}(2\left)\right]/\mathrm{U}\left(2\right)$. 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...

Singh, Hukum (1987)

Publications de l'Institut Mathématique. Nouvelle Série

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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.

Miomir Stanković, Svetislav Minčić (2000)

Publications de l'Institut Mathématique

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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 $dimM\ge 3$. Does $M$ always admit more than one homogeneous geodesic? (2) Suppose that $M=K/H$ admits $m=dimM$ linearly...