Dániel Fodor

activity

20182020

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

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

collaborators

4 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

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.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

Isometric immersions of Riemannian manifolds in k-codimensional Euclidean space

Algebraic conditions for the positivity of sectional curvature

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