Second fundamental form
Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space
... The aim of this paper is to obtain an upper bound for the fundamental tone of complete minimal hypersurfaces in Hn+ – with finite index and finite L norm of the second fundamental form.[r] ...
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Biharmonic Maps into S-Space forms
... space form. The objective of this paper is to find condition on second fundamental form for biharmonicity of a map from submanifolds of S-space form to S-space ...
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Semi invariant warped product submanifolds of almost contact manifolds
... the second fun- damental form of the CR-warped product submanifolds in Kaehler manifolds ...the second fundamental form in term of the warping function for contact CR-warped product in ...
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Global pinching theorems of submanifolds in spheres
... Theorem 1.1 . Let M be an n -dimensional compact submanifold embedded in the sphere S n+p ( 1 ) (n ≥ 3 , p ≥ 1 ) . Suppose that M has parallel mean curvature vector and positive Ricci curvature. Denote by H the mean ...
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On the projections of Laplacians under Riemannian submersions
... The above discussion shows that M φ ◦ π = ᏸφ ◦ π for some operator ᏸ on N if and only if the traces of the second fundamental form for each fibre π −1 σn are π -related on that fibre; or[r] ...
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Geometric inequalities for warped product bi slant submanifolds with a warping function
... the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on ...
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12. Invariant Submanifolds of Kenmotsu Manifolds admitting Quarter symmetric metric connection
... The study of the geometry of invariant submanifolds of Kenmotsu manifolds is carried out by C.S. Bagewadi and V.S. Prasad [4], S. Sular and C. Ozgur [13] and M. Kobayashi [10]. The author [10] has shown that the ...
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Totally umbilical CR submanifolds of Semi Riemannian Kaehler manifolds
... CR-submanifolds, Totally umbilical, Semi-Riemannian metric, Kaehler manifold, normal contact metric structure, second fundamental form... 1980 AMS SUBJECT CLASSIFICATION CODE..[r] ...
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Hearing the shape of a compact Riemannian manifold with a finite number of piecewise impedance boundary conditions
... Ic3f is the Pdemannian surface area of Of, Kx is the scalar curvature of f at x, Hz is the second fundamental form of the boundary KaYz is the scalar curvature of c3f equipped with the i[r] ...
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Global conformal invariants of submanifolds
... the second fundamental form h m and the other one just on the intrinsic curvature R m , for immersed m-submanifolds ( f ( M m ), g m ) in Riemannian n-manifolds ( M ¯ n , g ¯ n ...
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Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection
... the second fundamental forms σ and σ with respect to Levi-Civita connection and semi-symmetric nonmetric connection ...the second fundamental form σ is recurrent, 2-recurrent, ...
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An inequality for contact CR warped product submanifolds of nearly cosymplectic manifolds
... becomes a contact CR-warped product. In this section, we discuss the contact CR-warped products and obtain an inequality for the squared norm of the second fundamental form. For the general case of ...
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Spatially resolved observation of the fundamental and second harmonic standing kink modes using SDO/AIA
... with Zaqarashvili et al. (2013), the interpretation of a second harmonic kink mode is not based on direct observation of the spatial dependence of the mode. Rather, it is based on the re- lationship to other ...
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Second personal reason giving
... the second-‐ and third-‐person standpoints, on the one hand, and, on the other, between the second-‐ and first-‐person standpoints are not equally ...the second-‐person standpoint in morality is ...
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Unified Efficient Fundamental Adi-FDTD Schemes for Lossy Media
... (27) where E ADI is the electric field recorded by various efficient fundamental form of ADI-FDTD schemes and E explicit is the electric field recorded by the explicit FDTD method. Fig. 4 shows the ...
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How fundamental is the fundamental assumption?
... 3. The fundamental assumption is only as clear as is the distinction be- tween direct and indirect verifications. At first glance, in contrast to its appli- cation to other expressions of the language, the ...
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Studies on the relationship between mitochondrial structure and functioning in Amoeba proteus
... tion of this study to clarify the fundamental basis underlying these mitochondrial differences as it was considered that information concerning mitochondrial form and functioning in Amoe[r] ...
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Conflicts Between Fundamental Freedoms and Fundamental Rights in the Case Law of the Court of Justice of the European Union – A Comparison with the US Supreme Court Practice
... In my view, it is not free from concerns that the Court of Justice favours a vision of human rights in which they are considered preponderantly as an instrument to promote public interest. In most cases, the reference to ...
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SECOND DERIVATIVE SPECTROPHOTOMETRIC METHOD FOR THE ESTIMATION OF RIFAMPICIN AND PIPERINE IN THEIR COMBINED DOSAGE FORM
... effective Second derivative spectrophotometric zero crossing point method for the simultaneous determination of Rifampicin and Piperine in combined capsule dosage ...of Second derivative data processing ...
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TO ESTIMATE THE FAULT IN TRANSMISSION LINE USING HAAR FUNCTION
... the second harmonics is ...the fundamental is ...the fundamental component. The comparative p.u. value of the fundamental relative to the combined amplitude (called relative amplitude, K 1 or ...
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