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JournalISSN: 0047-2468

Journal of Geometry 

Springer Science+Business Media
About: Journal of Geometry is an academic journal published by Springer Science+Business Media. The journal publishes majorly in the area(s): Projective plane & Projective space. It has an ISSN identifier of 0047-2468. Over the lifetime, 2116 publications have been published receiving 13331 citations. The journal is also known as: JG.


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Journal ArticleDOI
TL;DR: S-functions are mappings from the class of finite graphs into the set of integers, such that certain formal conditions are fulfilled which are shared by the chromatic number, the vertex-connectivity, and the homomorphism-degree as discussed by the authors.
Abstract: S-functions are mappings from the class of finite graphs into the set of integers, such that certain formal conditions are fulfilled which are shared by the chromatic number, the vertex-connectivity, and the homomorphism-degree. The S-functions form a complete lattice (with respect to their natural partial order). The classes of graphs with values

286 citations

Journal ArticleDOI
TL;DR: In this article, Boyer and Galicki showed that a complete K-contact gradient soliton is a Jacobi vector field along the geodesics of the Reeb vector field.
Abstract: Inspired by a result of Boyer and Galicki, we prove that a complete K-contact gradient soliton is compact Einstein and Sasakian. For the non-gradient case we show that the soliton vector field is a Jacobi vector field along the geodesics of the Reeb vector field. Next we show that among all complete and simply connected K-contact manifolds only the unit sphere admits a non-Killing holomorphically planar conformal vector field (HPCV). Finally we show that, if a (k, μ)-contact manifold admits a non-zero HPCV, then it is either Sasakian or locally isometric to E3 or En+1 × Sn (4).

157 citations

Journal ArticleDOI
TL;DR: In this paper, the necessary and sufficient conditions for the Mannheim partner curves in Euclidean space and Minkowski space were obtained for three-dimensional space, respectively, and some examples are also given.
Abstract: In this paper, we study Mannheim partner curves in three dimensional space. We obtain the necessary and sufficient conditions for the Mannheim partner curves in Euclidean space $${\mathbb{E}}^{3}$$ and Minkowski space $${\mathbb{E}}^{3}_{1}$$ , respectively. Some examples are also given.

156 citations

Journal ArticleDOI
TL;DR: A subset of a (cristallographical) lattice ℒn is called convex whenever it is the intersection of the lattice with a convex set of the affine space containing ℓ n as discussed by the authors.
Abstract: A subset of a (cristallographical) lattice ℒn is called convex whenever it is the intersection of the lattice with a convex set of the affine space containing ℒn. We give a characterization of the convex sets which is intrinsic to the lattice and do the same for other related notions, e.g. the boundary of a convex set of ℒn. A statement analogous to Helly's theorem is also proved.

114 citations

Journal ArticleDOI
TL;DR: In this paper, the authors characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection, and give examples and completely describe the three dimensional case.
Abstract: We characterize almost contact metric manifolds which are CR-integrable almost Kenmotsu, through the existence of a suitable linear connection. We classify almost Kenmotsu manifolds satisfying a certain nullity condition, we give examples and completely describe the three dimensional case.

114 citations

Performance
Metrics
No. of papers from the Journal in previous years
YearPapers
202314
202262
202146
202050
201955
201848