دراسة فى هندسة الفضاءات الجزئية من فضاءات ريمان ومسألة الغمر

الموضوعات

علوم بحتة وطبيعية

روابط وملفات

التعريف والنوع

رقم الوثيقة

fdacd987-307e-45e3-b52b-a650e19a5f56

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

1959231_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":"محسن شيحة","title_ar":"اشراف","title_en":"Supervision"},{"name_ar":"نجوى أحمد نجوم","title_ar":"اعداد","title_en":"Preparation"}]

اللغة

Arabic

المصدر والدورية

اسم المصدر

دراسة فى هندسة الفضاءات الجزئية من فضاءات ريمان ومسألة الغمر

المحتوى والصفحات

عدد الصفحات

0

ترجمة الملخص

This thesis discusses the Study in Geometry of Subspaces in Riemannian Spaces and Immersed Problem, which is prepared to get the Master's degree in Mathematics –Mathematical analysis.This study consists of three chapters and includes a reference study then a study for geometry of Subspaces in Riemannian spaces and immersed problem.The First chapter: The Tensors and operations on them.In this chapter we studied Tensors and algebraic operations related to them. Then we studied the following thing, The liner and curvilinear coordinates of Affine space, christoffel Symbol with its first and second types. finally, Some famous tensors, like the metric tensor, Riemannian –christoffel tensor and Ricci tensor.The Second chapter: geometry of Subspaces in Riemannian spaces and immersed problemIn this chapter, we study The Immersed problem Between Riemannian spaces , Fisrt: First, we answer the question: When the space nVis immersed in space mV, then we study the normal to a space nVimmersed in a space mV, and we found the A necessary and sufficient condition that the normals to a nVimmersed in a 1nVform a null vector system.We syudy Equations of Gauss and Codazzi for a nVimmersed in a mV, We study Normal and relative curvatures of a curve in a nVimmersed in a mV. finally: We study the second fundamental form for a nVimmersed in a mVConjugate and asymptotic directions. The third Chapter: Minimal Manifolds:In This chapter, We define the differential and microcosm , and Minimal varieties then A spasce of class more one then , Evolutes of a nVin annpSand spaces nVof class one and Applicability of hypersurfaces of a flat space and Spaces of constant curvature which are hypersurfaces of a flat space.

إشراف وإعداد

الإشراف

محسن شيحة

الإعداد

نجوى أحمد نجوم

الاقتباسات الببليوغرافية