On doubly warped product Finsler manifolds
نویسندگان
چکیده
منابع مشابه
Biharmonic Maps between Doubly Warped Product Manifolds
In this paper biharmonic maps between doubly warped product manifolds are studied. We show that the inclusion maps of Riemannian manifolds B and F into the doubly warped product f B ×b F can not be proper biharmonic maps. Also we analyze the conditions for the biharmonicity of projections f B ×b F → B and f B ×b F → F , respectively. Some characterizations for non-harmonic biharmonic maps are g...
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A. In this paper, by applying the first variation formula of f -bi-energy given in [OND], we study f -biharmonic maps between doubly warped product manifolds M ×(μ,λ) N. Under imposing existence condition concerning proper f -biharmonic maps, we derive f -biharmonicity’s characteristic equations for the inclusion maps: iy0 : (M, g) → (M ×(μ,λ) N, ḡ), ix0 : (N, h) → (M ×(μ,λ) N, ḡ) and th...
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Mathematics Subject Classification (2000): 53C25, 53C40, 53C42.
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and Applied Analysis 3 where TX and NX are the tangential and normal components of FX, respectively, and for V ∈ T⊥M,
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Real World Applications
سال: 2012
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2011.12.002