Ricci and Levi-Civita's tensor analysis paper
نویسندگان
چکیده
منابع مشابه
Ricci Tensor of Diagonal Metric
Efficient formulae of Ricci tensor for an arbitrary diagonal metric are presented.
متن کاملRicci tensor for $GCR$-lightlike submanifolds of indefinite Kaehler manifolds
We obtain the expression of Ricci tensor for a $GCR$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $GCR$-lightlike submanifold of anindefinite complex space form. Moreover, we have proved that everyproper totally umbilical $GCR$-lightlike submanifold of anindefinite Kaehler manifold is a totally geodesic $GCR$-lightlikesubmanifold.
متن کاملon matsumoto metrics of special ricci tensor
in this paper, the matsumoto metric with special ricci tensor has been investigated. it is proved that, if is ofpositive (negative) sectional curvature and f is of -parallel ricci curvature with constant killing 1-form ,then (m,f) is a riemannian einstein space. in fact, we generalize the riemannian result established by akbar-zadeh.
متن کاملricci tensor for $gcr$-lightlike submanifolds of indefinite kaehler manifolds
we obtain the expression of ricci tensor for a $gcr$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $gcr$-lightlike submanifold of anindefinite complex space form. moreover, we have proved that everyproper totally umbilical $gcr$-lightlike submanifold of anindefinite kaehler manifold is a totally geodesic $gcr$-lightlikesubmanifold.
متن کاملThe *-Ricci tensor for hypersurfaces in CP and CH
We update and refine the work of T. Hamada concerning *-Einstein hypersurfaces in CPn and CHn. We also address existence questions using the methods of moving frames and exterior differential systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Historia Mathematica
سال: 1977
ISSN: 0315-0860
DOI: 10.1016/0315-0860(77)90126-4