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19982024
most citedShrinkage Estimation Strategies in Generalized Ridge Regression Models Under Low/High-Dimension Regime

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math.DG2019★ 1 cited

Riemannian Submersions Whose Total Manifolds Admitting a Ricci Soliton

Şemsi Eken Meriç, Erol Kılıç

In this paper, we study Riemannian submersions whose total manifolds admitting a Ricci soliton. Here, we characterize any fiber of such a submersion is Ricci soliton or almost Ricc…

math.DG2011

2-Degenerate Bertrand curves in Minkowski spacetime

Mehmet Göçmen, Sadık Keleş

In this paper we define a new type of 2-degenerate Cartan curves in Minkowski spacetime . We prove that this type of curves contain only the polynomial functions as its…

math.DG2011

Biharmonic Curves in 3-dimensional Hyperbolic Heisenberg Group

Selcen Yüksel Perktaş, Erol Kılıç

In this paper we study the non-geodesic non-null biharmonic curves in 3-dimensional hyperbolic Heisenberg group. We prove that all of the non-geodesic non-null biharmonic curves in…

math.DG2011

Warped product submanifolds of Lorentzian paracosymplectic manifolds

Selcen Yüksel Perktaş, Erol Kılıç, Sadık Keleş

In this paper we study the warped product submanifolds of a Lorentzian paracosymplectic manifold and obtain some nonexistence results. We show that a warped product semi-invariant…

math.DG2009

Indefinite almost paracontact metric manifolds

Mukut Mani Tripathi, Erol Kilic, Selcen Yuksel Perktas +1

In this paper we introduce the concept of -almost paracontact manifolds, and in particular, of -para Sasakian manifolds. Several examples are presente…

math.DG2000

Local subgroupoids II: Examples and properties

R. Brown, I. Icen, O. Mucuk

The notion of local subgroupoid as a generalisation of a local equivalence relation was defined in a previous paper by the first two authors. Here we use the notion of star path co…

math.DG1998

Lie local subgroupoids and their holonomy and monodromy Lie groupoids

Ronald Brown, Ilhan Içen

The notion of local equivalence relation on a topological space is generalised to that of local subgroupoid. The main result is the construction of the holonomy and monodromy group…