In this paper, we establish the following result: Let M be an n-dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or infr ≤ (3n+1)(n−2)/3, where r is the scalar curvature of M .

We study Yukawa unification, including the effects of a physical neutrino mass consistent with the Superkamiokande observations, in a string/D-brane inspired SU(4) ⊗ SU(2) L ⊗ SU(2) R model which allows the most general non-universal scalar and gaugino masses, including the usual D-term contributions which arise in SO(10). We investigate how the tight constraints from rare decays such as b → sγ...

Previous work comparing fMRI data for two participants participating in a trust game provides a unique source for the development of an ACT-R model of trust. The model replicates a large portion of the behavior data. Continuing efforts expect to match more of the behavioral data and the imaging data comparison is expected to identify architectural needs.

Quintessence is often invoked to explain the universe's acceleration suggested by type Ia supernovae observations. The aim of this letter is to study the validity of using a constant equation of state for quintessence models. We shall show that this hypothesis strongly constraint the form of the scalar potential. .

Let R be a ring. A construction method for flexible quadratic algebras with scalar involution over R is presented which unifies various classical constructions in the literature, in particular those to construct composition algebras.

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We will give an elementary proof of a result of R. Hamilton for Ricci flow on compact surfaces. Let M be a compact surface. We will prove the global existence of solution of the Ricci flow ∂gij/∂t = (r − R)gij on M where R is the scalar curvature and r = R