Resumen de Yamabe Solitons with potential vector field as torse forming

Yadab ChandraMandal, Shyamal Kumar Hui

• español

  Resumen Se estudian las variedades Riemannianas cuya métrica es un solitón de Yamabe con vector de potencial que forma un virol (superficie desarrollable) con respecto a conexiones Riemanniana, semisimétrica métrica y proyectiva semisimétrica. Se construye un ejemplo explícito para verificar las hipótesis del teorema en el caso de la conexión Riemanniana.

• English

  Abstract The Riemannian manifolds whose metric is Yamabe soliton with potential vector field as torse forming admitting Riemannian connection, semisymmetric metric connection and projective semisymmetric connection have been studied. An example is constructed to verify the theorem concerning Riemannian connection.