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We determine in $ℝ^{n}$ the form of curves $C$ corresponding to strictly monotone functions as well as the components of affine connections $\nabla$ for which any image of $C$ under a compact-free group $Ω$ of affinities containing the translation group is a geodesic with respect to $\nabla$ . Special attention is paid to the case that $Ω$ contains many dilatations or that $C$ is a curve in $ℝ^{3}$ . If $C$ is a curve in $ℝ^{3}$ and $Ω$ is the translation group then we calculate not only the components of the curvature and the Weyl tensor but...

Simple conformally symmetric manifolds with metric semi-symmetric connection

J. Krawczyk (1988)

Colloquium Mathematicae

Some Additive $2 - (v, 5, λ)$ Designs

Andrea Caggegi (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Given a finite additive abelian group $G$ and an integer $k$ , with $3 \leq k \leq | G |$ , denote by $𝒟_{k} (G)$ the simple incidence structure whose point-set is $G$ and whose blocks are the $k$ -subsets $C = {c_{1}, c_{2}, \dots, c_{k}}$ of $G$ such that $c_{1} + c_{2} + \dots + c_{k} = 0$ . It is known (see [Caggegi, A., Di Bartolo, A., Falcone, G.: Boolean 2-designs and the embedding of a 2-design in a group arxiv 0806.3433v2, (2008), 1–8.]) that $𝒟_{k} (G)$ is a 2-design, if $G$ is an elementary abelian $p$ -group with $p$ a prime divisor of $k$ . From [Caggegi, A., Falcone, G., Pavone, M.: On the additivity of block...

Some curvature identities for commutative spaces

Oldřich Kowalski (1982)

Czechoslovak Mathematical Journal

Some invariant theorems on geometry of Einstein non-symmetric field theory.

Liu, Shu-Lin, Xu, Sen-Lin (1983)

International Journal of Mathematics and Mathematical Sciences

Some maximal graduation classes and their Riemannian properties

Iulian Popovici, Radu Iordanescu, Adriana Turtoi (1971)

Archivum Mathematicum

Some new conformal covariants.

Wünsch, V. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Some Nonsemisymmetric Ricci-semisymmetric Warped Product Hypersurfaces

Ryszard Deszcz, Malgorzata Glogowska (2002)

Publications de l'Institut Mathématique

Some properties of fundamental bipoint tensor

N. Bokan (1971)

Matematički Vesnik

Some regularity theorems in riemannian geometry

Dennis M. Deturck, Jerry L. Kazdan (1981)

Annales scientifiques de l'École Normale Supérieure

Some remarks on metric semisymmetric connections. (Quelques remarques sur les connexions semi-symétriques métriques.)

Nicolescu, Liviu, Oprea, Teodor Vasile (2005)

Balkan Journal of Geometry and its Applications (BJGA)

Some Remarks on the Nonorientable Surfaces

I. Barza, D. Ghisa, Stere Ianus (1998)

Publications de l'Institut Mathématique

Some results on projectively flat affine surfaces

Antonio Martínez, Francisco Milán (2005)

Banach Center Publications

We focus our attention on projectively flat affine surfaces. First, we classify the affine surfaces with projectively flat induced connection and constant Pick invariant. We also investigate the compact case and study how the geometry at the boundary determines the geometry of the surface.

Special Einstein’s equations on Kähler manifolds

Irena Hinterleitner, Volodymyr Kiosak (2010)

Archivum Mathematicum

This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.

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Second order parallel tensor in real and complex space forms.

Semi-symmetric $𝔓$ -spaces

Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces

Shells of monotone curves