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1.
Alexopoulos T Allen C Anderson EW Areti H Banerjee S Beery PD Biswas NN Bujak A Carmony DD Carter T Cole P Choi Y De Bonte RJ Erwin AR Findeisen C Goshaw AT Gutay LJ Hirsch AS Hojvat C Kenney VP Lindsey CS LoSecco JM McMahon T McManus AP Morgan N Nelson KS Oh SH Piekarz J Porile NT Reeves D Scharenberg RP Stampke SR Stringfellow BC Thompson MA Turkot F Walker WD Wang CH Wesson DK 《Physical review letters》1990,64(9):991-994
2.
In this paper we prove that any hypersurface in En+1 of the form where P 1 is a polynomial of degree ≥2 and P 2, ... , P n are functions such that P i ′ P i ″ = 0 somewhere for all i = 2, ... , n, is of infinite type. As a consequence, we deduce that a polynomial translation hypersurface in En+1, i. e. a hypersurface of the above form where P 1, ... , P n are polynomials, is of finite type if and only if it is a hyperplane. This provides some partial solutions to a problem of B. Y. Chen [C3]. 相似文献
3.
Lazarus EA Navratil GA Greenfield CM Strait EJ Austin ME Burrell KH Casper TA Baker DR DeBoo JC Doyle EJ Durst R Ferron JR Forest CB Gohil P Groebner RJ Heidbrink WW Hong R Houlberg WA Howald AW Hsieh C Hyatt AW Jackson GL Kim J Lao LL Lasnier CJ Leonard AW Lohr J La Haye RJ Maingi R Miller RL Murakami M Osborne TH Perkins LJ Petty CC Rettig CL Rhodes TL Rice BW Sabbagh SA Schissel DP Scoville JT Snider RT Staebler GM Stallard BW Stambaugh RD St John HE Stockdale RE Taylor PL Thomas DM 《Physical review letters》1996,77(13):2714-2717
4.
In this paper, we study 3-dimensional totally real submanifolds of . If this submanifold is contained in some 5-dimensional totally geodesic , then we classify such submanifolds in terms of complex curves in lifted via the Hopf fibration . We also show that such submanifolds always satisfy Chen's equality, i.e. , where for every . Then we consider 3-dimensional totally real submanifolds which are linearly full in and which satisfy Chen's equality. We classify such submanifolds as tubes of radius in the direction of the second normal space over an almost complex curve in .
5.
6.
7.
[reaction: see text] Anti alpha-amino-homopropargylic alcohols are prepared by addition of metallated propargylic amines to aldehydes. Among the four organometallic (LI, Zn, Ti, Cu) derivatives used, the most effective are the copper reagents. 相似文献
8.
9.
The first author introduced a Riemannian invariant denoted by δ and proved in [4] that everyn-dimensional submanifold of the complex hyperbolicm-space ℂH
m
(4c) of constant holomorphic sectional curvature 4c<0 satisfies a basic inequality
, whereH
2 denotes the squared mean curvature of the submanifold. The main purpose of this paper is to completely classify properCR-submanifolds of complex hyperbolic spaces which satisfy the equality case of this inequality.
Dedicated to Leopold Verstraelen on his fiftieth birthday 相似文献
10.
A surface x: M S
n
is called a Willmore surface if it is a criticalsurface of the Willmore functional
M
(S – 2H
2)dv, where H isthe mean curvature and S is the square of the length of the secondfundamental form. It is well known that any minimal surface is aWillmore surface. The first nonminimal example of a flat Willmoresurface in higher codimension was obtained by Ejiri. This example whichcan be viewed as a tensor product immersion of S
1(1) and a particularsmall circle in S
2(1), and therefore is contained in S
5(1) gives anegative answer to a question by Weiner. In this paper we generalize theabove mentioned example by investigating Willmore surfaces in S
n
(1)which can be obtained as a tensor product immersion of two curves. We inparticular show that in this case too, one of the curves has to beS
1(1), whereas the other one is contained either in S
2(1) or in S
3(1). In the first case, we explicitly determine the immersion interms of elliptic functions, thus constructing infinetely many newnonminimal flat Willmore surfaces in S
5. Also in the latter casewe explicitly include examples. 相似文献