[Richard777 (OP)]

Is there some geometry which may represent a tensor?
Would possibly two or more “connected vectors” provide the geometry?
If so, may it be possible to obtain the Kerr-Newman metric from that geometry?

[Bored chemist]

I have never been sure about tensors but, in Rama spectroscopy, the polarisability is refereed to as an ellipsoid and as a tensor.

[geordief]

Any diagrams ,people if we are talking about representing tensors geometrically?

I (think I) am aware of counting the number of planes a vector passes through ...are there other representations?

[Colin2B]

Any diagrams ,people if we are talking about representing tensors geometrically?

Tensors are higher order vectors so you can show them diagrammatically. The problem comes with more than 3 dimensions, you can’t do it on paper without losing info. It’s like trying to show spacetime on a sheet of paper, hence eg Minkowski diagrams

[PmbPhy]

Is there some geometry which may represent a tensor?

Tensors are actually defined a geometrical objects so I'm unclear on what question.