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Sharief Sadique Deshmukh

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Professor

كلية العلوم
2A-122, Building-4
المنشورات
مقال فى مجلة
2019

On Jacobi-Type Vector Fields on Riemannian Manifolds

Ishan, Bang-Yen Chen, Sharief Deshmukh, Amira . 2019

In this article, we study Jacobi-type vector fields on Riemannian manifolds. A Killing vector field is a Jacobi-type vector field while the converse is not true, leading to a natural question of finding conditions under which a Jacobi-type vector field is Killing. In this article, we first prove that every Jacobi-type vector field on a compact Riemannian manifold is Killing. Then, we find several necessary and sufficient conditions for a Jacobi-type vector field to be a Killing vector field on non-compact Riemannian manifolds. Further, we derive some characterizations of Euclidean spaces in terms of Jacobi-type vector fields. Finally, we provide examples of Jacobi-type vector fields on non-compact Riemannian manifolds, which are non-Killing.

رقم المجلد
9
مجلة/صحيفة
Mathematics
الصفحات
article no 1139
مزيد من المنشورات
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We aim to examine the influence of the existence of a nonzero eigenvector z of the de-Rham
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بواسطة Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu
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تم النشر فى:
MPDI
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The Fischer-Marsden conjecture asserts that an n-dimensional compact manifold admitting a nontrivial solution of the so-called Fischer-Marsden differential equation is necessarily an Einstein…

بواسطة Sharief Deshmukh, Hana Al-Sodais, Gabriel-Eduard Vîlcu
2023
تم النشر فى:
Journal of Mathematical Analysis and Applications
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We use a nontrivial concircular vector field u on the unit sphere Sn+1 in studying
geometry of its hypersurfaces. An orientable hypersurface M of the unit sphere Sn+1
naturally…

بواسطة Nasser Bin Turki, Sharief Deshmukh, Gabriel-Eduard Vîlcu
2022
تم النشر فى:
Journal of Inequalities and Applications