Geometric Analysis and Curvature Flows

Abstract No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic $$D>4$$ D > 4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $$D=4$$ D = 4 . Therefore, the recently introduced four-dimensional, n…

• BAYRAM TEKİN

Abstract No! We show that the field equations of Einstein–Gauss–Bonnet theory defined in generic $$D>4$$ D > 4 dimensions split into two parts one of which always remains higher dimensional, and hence the theory does not have a non-trivial limit to $$D=4$$ D = 4 . Therefore, the recently introduced four-dimensional, n…

• BAYRAM TEKİN
• TAHSİN ÇAĞRI ŞİŞMAN

Abstract We introduce anti-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and suf…

• BAYRAM ŞAHİN

We consider M theory in the presence of $M$ parallel M5-branes probing a transverse ${A}_{N\ensuremath{-}1}$ singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of this theory on a two-torus, with arbitrary supersymmetry preser…

• CAN KOZÇAZ

Let M be a compact Stein surface with boundary.We show that M admits infinitely many pairwise nonequivalent positive allowable Lefschetz fibrations over D 2 with bounded fibers.

The aim of this short note is to produce new examples of geometrical flows associated to a given Riemannian flow $g(t)$. The considered flow in covariant symmetric $2$-tensor fields will be called Ricci-Yamabe map since it involves a scalar combination of Ricci tensor and scalar curvature of $g(t)$. Due to the signs o…

• SİNEM GÜLER

In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a space curve to be a slant helix. Also, we obtain the slant helix equations and its Frenet aparatus.

In this paper we establish improved Hardy and Rellich type inequalities on a Riemannian manifold $M$. Furthermore, we also obtain sharp constants for improved Hardy and Rellich type inequalities on the hyperbolic space $\mathbb {H}^n$.

No abstract yet.

• BAYRAM ŞAHİN

Abstract We introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product…

• BAYRAM ŞAHİN

No abstract yet.

In this study, we investigate the special type of magnetic trajectories associated with a magnetic field [Formula: see text] defined on a 3D Riemannian manifold. First, we consider a moving charged particle under the action of a frictional force, [Formula: see text], in the magnetic field [Formula: see text]. Then, we…

• RIDVAN CEM DEMİRKOL