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Evolution of curvature tensors under mean curvature flow
Evolución de los tensores de curvatura bajo el flujo de curvatura media
Schlagworte:
Curvature tensors, mean curvature flow (en)Tensores de curvatura, flujo de curvatura media (es)
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Abstract. We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution of the scalar curvature is similar to the Ricci flow, however, negative, rather than positive, curvature is preserved. Our results are valid in any dimension.
Se obtienen las ecuaciones de evolución para el tensor de Riemann, el tensor de Ricci y el escalar de curvatura inducidas por el flujo de curvatura media. La evolución de la curvatura escalar es similar al flujo de Ricci, sin embargo, la curvatura negativa, en vez de la positiva, es favorecida. Nuestros resultados son válidos en cualquier dimensión.
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