Acta Mathematica Scientia(English Series)A. Majumdar, J. M. Robbins, and M. Zyskin. Tangent unit-vector fields: nonabelian homotopy in- variants and the Dirichlet energy. C. R. Math. Acad. Sci. Paris, 347(19-20)
Let u be a unit vector tangent to M ⊂ R3 at a point p. Then the number k(u) = S(u) • u is called the normal curvature of M in the u direction. In this context, we define a tangent direction to M at p to be a one-dimensional subspace L of Tp(M), that is, a lin...
g uis h the gene vector a nd gene dupli。 c a tio n.Fro m the pe rs pe ctive o f na tura l s e le ctio n.the indiv id ua I ca nnot e vo lv e , a nd the e lim ina tio n is the o nly fa te w hic h is dif e re nt in de g re e s .T he e f- ...
K.A. Baker Free vector lattices Canad. J. Math., 20 (1968), pp. 58-66 Google Scholar [2] W.M. Beynon Applications of duality in the theory of finitely generated lattice-ordered abelian groups Canad. J. Math., 29 (2) (1977), pp. 243-254 Google Scholar [3] A. Bigard, K. Kei...
Parallel vector elds are trivial minima of this functional. For odd-dimensional manifolds, we obtain an explicit result...doi:10.1007/s00229-019-01107-yFabiano G. B. BritoAndré O. GomesIcaro Gonçalvesmanuscripta mathematica
parallel mean curvature vector fieldIMMERSED HYPERSURFACESMEAN-CURVATURECLASSIFICATIONGEOMETRYThe para-Blaschke tensor are extended in this paper from hypersurfaces to general higher codimensional submanifolds in the unit sphere S-n, which is invariant under the Mobius transformations on S-n. Then some ...
It is proved that if the pluriharmonic mapping f ∈ P(D^n, B^N) is C^(1+α) at z0 ∈ E_r D^n with f(0) = 0 and f(z_0) = ω_0∈ B^N for any n,N ≥ 1, then there exist a nonnegative vector λ_f =(λ_1,0,…,λ_r,0,…,0)~T∈R^(2 n)satisfying λ_i...
2012, Acta Mathematica Sinica, English Series Extension of isometries on unit sphere of L∞ 2011, Taiwanese Journal of Mathematics On isometric extension problem between two unit spheres 2009, Science in China, Series A: Mathematics Isometries on banach spaces: Vector-valued function spaces, volume ...
A GPU may include a number of characteristics. For example, a GPU may include many vector processing elements (e.g., cores) operating in parallel, where each vector core addresses a separate on-device memory. There is high memory bandwidth between the on-device memories and the vector cores...
Acta Mathematica ScientiaYingkui Li,Peide Liu.Vector-valued random power series on the unit ball of Cn. Acta Math Scie . 2007Li Yingkui,Liu Peide. Vector-valued random power series on the unit ball of C^n [J]. Acta Math. Scie. Chin. ,2007,27(1) :577-584.Yingkui Li,Peide Liu....