Dr. Bang-Yen Chen

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Academic Career Length

32Years (1995-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

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13 November 2014 in General Relativity and Gravitation

Journal Article

A simple characterization of generalized Robertson–Walker spacetimes

Bang-Yen Chen

1 March 1999 in Glasgow Mathematical Journal

Journal Article

Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions

Bang-Yen Chen

First we define the notion of k-Ricci curvature of a Riemannian n-manifold. Then we establish sharp relations between the k-Ricci curvature and the shape operator and also between the k-Ricci curvature and the squared mean curvature for a submanifold in a Riemannian space form with arbitrary codimension. Several applications of such relationships are also presented.

1 January 1996 in Glasgow Mathematical Journal

Journal Article

Mean curvature and shape operator of isometric immersions in real-space-forms

Bang-Yen Chen

According to the well-known Nash's theorem, every Riemannian n-manifold admits an isometric immersion into the Euclidean space E^{n(n+1)(3n+11)/2}. In general, there exist enormously many isometric immersions from a Riemannian manifold into Euclidean spaces if no restriction on the codimension is made. For a submanifold of a Riemannian manifold there are associated several extrinsic invariants beside its intrinsic invariants. Among the extrinsic invariants, the mean curvature function and shape operator are the most fundamental ones.

1 February 2003 in The American Mathematical Monthly

Journal Article

When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?

Bang-Yen Chen

(2003). When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? The American Mathematical Monthly: Vol. 110, No. 2, pp. 147-152.

14 October 2002 in Proceedings of the Edinburgh Mathematical Society

Journal Article

ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS

Bang-Yen Chen

We establish a general sharp inequality for warped products in real space form. As applications, we show that if the warping function $f$ of a warped product $N_1\times_fN_2$ is a harmonic function, then(1) every isometric minimal immersion of $N_1\times_fN_2$ into a Euclidean space is locally a warped-product immersion, and(2) there are no isometric minimal immersions from $N_1\times_f N_2$ into hyperbolic spaces.Moreover, we prove that if either $N_1$ is compact or the warping function $f$ is an eigenfunction of the Laplacian with positive eigenvalue, then $N_1\times_f N_2$ admits no isometric minimal immersion into a Euclidean space or a hyperbolic space for any codimension. We also provide examples to show that our results are sharp.AMS 2000 Mathematics subject classification: Primary 53C40; 53C42; 53B25

16 March 2017 in Mediterranean Journal of Mathematics

Journal Article

Warped Product Bi-slant Immersions in Kaehler Manifolds

Alghamdi Uddin

Bang-Yen Chen

Falleh R. Al-Solamy

About Me

Prof. Bang-Yen Chen received his B.S. from Tamkang University in 1965 and his M.Sc. from the National Tsing Hua University in 1967. He obtained his Ph.D. degree from the University of Notre Dame in 1970 under the supervision of Tadashi Nagano. He taught at Tamkang University between 1965 and 1968, and at the National Tsing Hua University in the academic year 1967–1968. After his doctoral years (1968–1970) at the University of Notre Dame, he joined the faculty at Michigan State University as a research associate from 1970 to 1972, where he became an associate professor in 1972, and a full professor in 1976. He was presented with the title of Distinguished Professor in 1990. After 2012, he became a Distinguished Professor Emeritus. He is the author of over 570 works, including 12 books, mainly in differential geometry and related subjects. He was named one of the top 15 famous Taiwanese scientists by SCI Journal.

Dr. Bang-Yen Chen

Dr. Bang-Yen Chen

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