Geometric Properties of Natural Operators Defined by the Riemann Curvature Tensor

By P. Gilkey. 2001

159 citations recorded by the source corpus.

Algebraic curvature tensors the skew-symmetric curvature operator the Jacobi operator controlling the eigenvalue structure.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/47e03e8a46ade81062e5940614f2b7f0ada01cb0

How researchers see this paper

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In Applied Mathematics

1. E. García‐Río
2. Ramón Vázquez-Lorenzo
3. Huaihuo Cao

In Astronomy and Astrophysics

1. E. García‐Río
2. Ramón Vázquez-Lorenzo
3. Huaihuo Cao

Citations in the corpus

• The geometry of modified Riemannian extensions (2009, background): “If p ≥ 2 and q ≥ 2, these are equivalent conditions [23] so one simply says the metric is Ivanov–Petrova in this setting.”