Sentence examples for homogeneous bundle from inspiring English sources

For α̅>α̅c, the initially homogeneous bundle is unstable and develops into an inhomogenous distribution that is either a stationary distribution of segregated filaments or displays complex dynamics such as propagating density profiles.

In the special case of a homogeneous bundle

In the presence of end-tracking cross-linkers, treadmilling can induce relative sliding between filaments of the same and opposite orientation, see Fig. 4. Simulating this dynamics analogously to the case of motor-induced filament sliding, we find again cases of stable homogenous bundles and cases where homogeneous bundles are unstable and complex dynamics emerges.

We prove that the image is characterized by a covariant differential operator on a homogeneous line bundle on the symmetric space.

Let D = GV be a flag domain and let Eπ → D be a nondegenerate homogeneous vector bundle over D induced by an irreducible representation π of V.

For bounded symmetric domains Ω="G/K of tube type and general domains of type I, we consider the action of G on sections of a homogeneous line bundle over Ω and the corresponding eigenspaces of G-invariant differential operators.

The treatment is from a homogeneous vector bundle point of view and uses the notation and some of the results of the treatment in Papers I III (S. M. Paneitz and I. E. Segal, J. Funct. Anal. 47 (1982), 78 142; 49 (1982), 335 414; 54 (1983), 18 22)) of conventional bundles over M̃.

In contrast to the scattered groups generated by the wt endodermis, shr-1 and scr-1 periclinal derivatives formed a homogeneous meristematic bundle of superimposed cell files all along the explant (Fig. 8C).

Representations of Banach Lie groups are realized on Hilbert spaces formed by sections of holomorphic homogeneous vector bundles.

In this paper we extend the local theory of Sherman to arbitrary homogeneous vector bundles on U/K.

The Helgason Fourier transform on noncompact Riemannian symmetric spaces G/K is generalized to the homogeneous vector bundles over the compact dual spaces U/K.