Levi-Civita has proved that given a manifold M with a Rieman­ nian metric g there is a unique connection 'V satisfying the follow­ ing two properties: • 'V g = 0, i.e., the connection is metric. • For X, Y E x(M), T(X, Y) = 0, i.e., the connection is sym- metric. The connection is then called a Riemannian connection. Friedmann (1924) and Schouten (1954) [19] introduced the idea of semi-symmetric linear connection on a differentiable manifold. Hayden (1932) [11] introduced semi-symmetric metric connection on a Riemannian manifold and this was further developed by Yano (1970) [20], Imaii (1972) [13], Nakao (1976) [16], Amur and Pujar (1978) [4]. ln 1992, Agashe and Chafle [2] defined a semi-symmetric non- metric connection 'V* on a Riemannian manifold M and defined the curvature tensor of M with respect to this semi-symmetric non- metric connection. They obtained a relation connecting the curva­ ture tensors of M with respect to semi-symmetric non-metric con­ nection and the Riemannian connection.

Tarek Ali Omar Aggour;

Abstract


The main target of the present study is to define the hydrogeologic framework of Qena - Safaga District in order to delineate the impact of the geomorphologic and geologic setting on the groundwater. The grOLmdwater occurrence, the aqui fer and the hydrochemical characteristics of the groundwater are discussed. The controlling topographic, geomorphologic, lithologic and stmctural elements are defrned and evaluated.


The obtained data and results of the present study are discussed within six chapters under the following topics :-


- Int roduction.
- Geomorphologic setting.
- Geologic setting.
- Hydrogeologic setting.
- Hydrogeochern.ical characteristics and quality evaluation.
- Impact of geomorphologic and geologic setting upon groundwater potentialities.


Qena - Safaga District is located in the Central Eastern Desert between longitudes 32° 25' 20" and 34° 5' E and latitudes 26° 5' 30" and 27° N. It covers a surface area of
about 12932.5 krn2 . It lies in the hyperarid zone of Egypt.
This zone is characterized by moderately relative hmnidity, erratic short winter, hot dry long stunmer and high diurnal temperature. The armual rainfall intensity not exceeds 5 rrun/year. The degree of aridity of the studied area varies from 0.208 to 0.477, which reveals desertic conditions

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Title Levi-Civita has proved that given a manifold M with a Rieman­ nian metric g there is a unique connection 'V satisfying the follow­ ing two properties: • 'V g = 0, i.e., the connection is metric. • For X, Y E x(M), T(X, Y) = 0, i.e., the connection is sym- metric. The connection is then called a Riemannian connection. Friedmann (1924) and Schouten (1954) [19] introduced the idea of semi-symmetric linear connection on a differentiable manifold. Hayden (1932) [11] introduced semi-symmetric metric connection on a Riemannian manifold and this was further developed by Yano (1970) [20], Imaii (1972) [13], Nakao (1976) [16], Amur and Pujar (1978) [4]. ln 1992, Agashe and Chafle [2] defined a semi-symmetric non- metric connection 'V* on a Riemannian manifold M and defined the curvature tensor of M with respect to this semi-symmetric non- metric connection. They obtained a relation connecting the curva­ ture tensors of M with respect to semi-symmetric non-metric con­ nection and the Riemannian connection.
Other Titles انعكاس الاوضاع الجيومورفولوجية والجيولوجية على المياه الجوفية بمنطقة قنا - سفاجا - وسط الصحراء الشرقية - مصر
Authors Tarek Ali Omar Aggour
Issue Date 1997

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Levi-Civita has proved that given a manifold M with a Rieman­ nian metric g there is a unique connection 'V satisfying the follow­ ing two properties: • 'V g = 0, i.e., the connection is metric. • For X, Y E x(M), T(X, Y) = 0, i.e., the connection is sym- metric. The connection is then called a Riemannian connection. Friedmann (1924) and Schouten (1954) [19] introduced the idea of semi-symmetric linear connection on a differentiable manifold. Hayden (1932) [11] introduced semi-symmetric metric connection on a Riemannian manifold and this was further developed by Yano (1970) [20], Imaii (1972) [13], Nakao (1976) [16], Amur and Pujar (1978) [4]. ln 1992, Agashe and Chafle [2] defined a semi-symmetric non- metric connection 'V* on a Riemannian manifold M and defined the curvature tensor of M with respect to this semi-symmetric non- metric connection. They obtained a relation connecting the curva­ ture tensors of M with respect to semi-symmetric non-metric con­ nection and the Riemannian connection.


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