We introduce a generalized quarter-symmetric metric recurrent connection and study its geometrical properties. We also derive the Schur's theorem for the generalized quarter-symmetric metric recurrent connection.
We introduce a class of quarter-symmetric projective conformal connections, and study the geometrical properties of a manifold associated with this connection. The Schur's theorem corresponding to the quarter-symmetric projective conformal connection is derived.
We first introduce a Ricci quarter-symmetric connection and a projective Ricci quarter-symmetric connection, and then we investigate a Riemannian manifold admitting a Ricci (projective Ricci) quartersymmetric connection (M,), and prove that a Riamannian manifold with a Ricci(projection-Ricci) quartersymmetric connection is of a constant curvature manifold. Furthermore, we derive that an Einstein manifold (M,) is conformally flat under certain condition.
The present paper attains a Harnack inequality for the option pricing (or Kolmogorov) equation with gradient estimate arguments. We then perform a no-arbitrage analysis of a financial market.
The object of the present paper is to study biharmonic Legendre curves, locally φ-symmetric Legendre curves and slant curves in 3-dimensional Kenmotsu manifolds admitting semisymmetric metric connection. Finally, we construct an example of a Legendre curve in a 3-dimensional Kenmotsu manifold.
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