we study umbilic (space-like) submanifolds of pseudo-riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo euclidean space and relate this notion to umbilicity. finally we give characterization of total semi-umbilicity for space-like submanifolds contained in pseudo sphere or pseudo hyperbolic space or the light cone.a pseudo-riemannian submanifold m in (a ps...

In previous report (J. Phys. A (1997) 30 4019-4029), I showed that the Dirac field confined in a surface immersed in R 3 by means of a mass type potential is governed by the Konopelchenko-Kenmotsu-Weierstrass-Enneper equation. In this article, I quantized the Dirac field and calculated the gauge transformation which exhibits the gauge freedom of the parameterization of the surface. Then using t...

The object of this offering article is to introduce the notion *- Miao-Tam critical equation on almost contact metric manifolds and it studied Kenmotsu with some nullity condition. It proved that if a (2n + 1)-dimensional (k, µ)!-almost manifold (M, g) satisfies *-Miao-Tam equation, then *-Ricci flat locally isometric product space. Finally, result verified by an example.

In this article, pseudoparallel submanifolds for almost Kenmotsu $\left( \kappa,\mu,\nu\right) -$space are investigated. The is considered on the concircular curvature tensor. Submanifolds of these manifolds with properties such as pseudoparallel, $2-$pseudoparallel, Ricci generalized and $2-$Ricci has been characterized. Necessary sufficient conditions given invariant to be total geodesic acco...

darabgird is one of the ancient cities in fars province. according to iranian mythology, darab shah (dariush, the great) found the city in the achaemenid period. but, due to the fact that 1.21% of total ceramics gathered from the city belongs to the parthian era, we can accept that the city remained in use since parthian period to the islamic era. data analysis shows that the city had a strong...