Totally geodesic submanifolds in tangent bundle with g-natural metric
نویسندگان
چکیده
منابع مشابه
Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
We consider the unit tangent sphere bundle of Riemannian manifold ( M, g ) with g-natural metric G̃ and we equip it to an almost contact B-metric structure. Considering this structure, we show that there is a direct correlation between the Riemannian curvature tensor of ( M, g ) and local symmetry property of G̃. More precisely, we prove that the flatness of metric g is necessary and sufficien...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2014
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887814600330