Connections with Skew-Symmetric Ricci Tensor on Surfaces
نویسندگان
چکیده
منابع مشابه
On the Holonomy of Connections with Skew-symmetric Torsion
We investigate the holonomy group of a linear metric connection with skew-symmetric torsion. In case of the euclidian space and a constant torsion form this group is always semisimple. It does not preserve any non-degenerated 2-form or any spinor. Suitable integral formulas allow us to prove similar properties in case of a compact Riemannian manifold equipped with a metric connection of skew-sy...
متن کاملSpin(9)-structures and Connections with Totally Skew-symmetric Torsion
We study Spin(9)-structures on 16-dimensional Riemannian manifolds and characterize the geometric types admitting a connection with totally skew-symmetric torsion.
متن کاملSymmetric curvature tensor
Recently, we have used the symmetric bracket of vector fields, and developed the notion of the symmetric derivation. Using this machinery, we have defined the concept of symmetric curvature. This concept is natural and is related to the notions divergence and Laplacian of vector fields. This concept is also related to the derivations on the algebra of symmetric forms which has been discu...
متن کاملOn Skew-Symmetric Games
By resorting to the vector space structure of finite games, skew-symmetric games (SSGs) are proposed and investigated as a natural subspace of finite games. First of all, for two player games, it is shown that the skew-symmetric games form an orthogonal complement of the symmetric games. Then for a general SSG its linear representation is given, which can be used to verify whether a finite game...
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 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: Results in Mathematics
سال: 2008
ISSN: 1422-6383,1420-9012
DOI: 10.1007/s00025-008-0307-3