Dániel Fodor

activity

20132020

most citedExpressing the curvature tensor and connection of a given metric in terms of those of another metric

1 citations · 2 across the 5 of their papers we have counts for

collaborators

7 papers

math.DG2020

Sectionally positive curvature tensors admit a metric tensor under which they are Einstein

Dan Gregorian Fodor

Let $n \geq 3$ and $R_{ab c d}$ be a $(4, 0)$ sectionally positive curvature-type tensor (a tensor possessing all the local symmetries of the $(4, 0)$ curvature tensor). Then there exi…

math.DG2019★ 1 cited

An Algebraic Characterisation for Finsler Metrics of Constant Flag Curvature

Ioan Bucataru, Dan Gregorian Fodor

In this paper we prove that a Finsler metrics has constant flag curvature if and only if the curvature of the induced nonlinear connection satisfies an algebraic identity with resp…

math.DG2019

Isometric immersions of Riemannian manifolds in $k$ -codimensional Euclidean space

Dan Gregorian Fodor

We use a new method to give conditions for the existence of a local isometric immersion of a Riemannian $n$ -manifold $M$ in $R^{n + k}$ , for a given $n$ and $k$ . These equat…

math.DG2019

Algebraic conditions for the positivity of sectional curvature

Dan Gregorian Fodor

We examine algebraic conditions for the sectional positivity of the Riemann curvature operator. We describe sufficient conditions for dimension $n = 4$ , and complete characterization…

math.GR2018

On the sum of element orders of finite abelian groups

Marius Tărnăuceanu, Dan Gregorian Fodor

In this note some properties of the sum of element orders of a finite abelian group are studied.

math.DG2018★ 1 cited

Expressing the curvature tensor and connection of a given metric in terms of those of another metric

Dan Gregorian Fodor

Let $(M, g)$ be a Riemannian manifold, and $m$ be a second metric on $M$ . We give expressions of $m$ 's associated connection, and Riemann curvature tensor $R_{m}$ , in terms of $R_{g}$ a…

Sectionally positive curvature tensors admit a metric tensor under which they are Einstein

An Algebraic Characterisation for Finsler Metrics of Constant Flag Curvature

Isometric immersions of Riemannian manifolds in k-codimensional Euclidean space

Algebraic conditions for the positivity of sectional curvature

On the sum of element orders of finite abelian groups

Expressing the curvature tensor and connection of a given metric in terms of those of another metric

Isometric immersions of Riemannian manifolds in $k$ -codimensional Euclidean space