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y − x ≥ v(y) − v(x) d − h ≥ b + |M n | 2 − 1 a − 1 ≥ b 2 − 1 a − 1 in this case as well. Again, the unboundedness of D(v, M) follows.

- BANG-YEN CHEN, OSCAR J. GARAY, O. J. GARAY
- 2003

We completely classify constant mean curvature hypersurfaces (CMC) with constant δ-invariant in the unit 4-sphere S 4 and in the Euclidean 4-space E 4 .

We present a method to construct a large family of Lagrangian surfaces in complex Euclidean plane C 2 by using Legendre curves in the 3-sphere and in the anti de Sitter 3-space or, equivalently, by using spherical and hyperbolic curves, respectively. Among this family, we characterize minimal, constant mean curvature, Hamiltonian-minimal and Willmore… (More)

A new geometric invariant will be introduced, studied and determined on compact symmetric spaces. Introduction. We will introduce a new invariant on Riemannian manifolds, which is especially interesting on compact symmetric spaces, and we will determine the invariant for the compact symmetric spaces, thus amplifying the announcement

- BANG-YEN CHEN, B. Y. CHEN
- 2007

Lagrangian //-umbilical submanifolds are the "simplest" Lagrangian submanifolds next to totally geodesic ones in complex-space-forms. The class of Lagrangian //-umbilical submanifolds in complex Euclidean spaces includes Whitney's spheres and Lagrangian pseudo-spheres. For each submanifold M of Euclidean «-space and each unit speed curve F in the complex… (More)

OBJECTIVE
To elucidate the effect of Chinese herbal medicine (CHM) for nourishing Yin and removing fire on the biosynthesis, secretion and regulative mechanism of gonadotropin-releasing hormone (GnRH) in hypothalamus.
METHODS
The brain slices of medial basal hypothalamus of adolescent rats, which had been fed with CHM, were incubated. The content of GnRH… (More)

- Bang-Yen Chen, Sharief Deshmukh
- 2014

Einstein manifolds are trivial examples of gradient Ricci soli-tons with constant potential function and thus they are called trivial Ricci solitons. In this paper, we prove two characterizations of compact shrinking trivial Ricci solitons.

- BANG-YEN CHEN
- 2014

A production function f is called quasi-sum if there are continuous strict monotone functions F, h 1 ,. .. , hn with F > 0 such that f (x) = F (h 1 (x 1) + · · · + hn(xn)) (cf. [1]). A quasi-sum production function is called quasi-linear if at most one of F, h 1 ,. .. , hn is a nonlinear function. For a production function f , the graph of f is called the… (More)

- BANG-YEN CHEN
- 2006