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Harmonic Maps on Riemannian Manifolds

Thesis Info

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Author

Rehman, Najma Abdul

Program

PhD

Institute

Government College University

City

Lahore

Province

Punjab

Country

Pakistan

Thesis Completing Year

2012

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/2624/1/2622S.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726357935

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In this thesis we study the harmonicity of smooth maps between Rieman- nian manifolds endowed with some special geometrical structures (Sasakian, Kenmotsu, Kahler, f -structures, generalized Sasakian). The most of maps are generalizations of holomorphic maps, namely it intertwines the geomet- rical structures. We also obtain some results on spectral theory and stability of harmonic maps. We give conditions for a harmonic map to be a har- monic morphism. For most of the results we give some nice applications, for instance in the theory of immersions.
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ادوات استفہام

ادوات استفہام

ادواتِ استفہام سے مراد ایسے اسما و حروف ہیں جن سے سوال کیا جاتا ہے۔ قرآن مجید میں بھی ادواتِ استفہام کا ستعمال بکثرت موجود ہے۔ڈاکٹر عبد ہ الراجحی تحریر فرماتے ہیں:

"تمام ادوات استفہام اسمائے استفہام ہیں سوائے دو کلموں کے "ھل اور ھمزہ" یہ دونوں حروف استفہام ہیں اور مبنی ہیں اور اسمائے استفہام سب مبنی ہیں سوائے"اي" کے‘‘۔[[1]]

نحویوں نے ادوات استفہام کی دو اقسام بیان کی ہیں:

۱-حروف استفہام                                                                     ۲-اسمائے استفہام



[[1]]     عبده الراجحى،التطبيق النحوى،دارالمعرفة، مصر، ۲۰۰۷ء، ص ۵۹۔

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