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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Bernstein Theorem of Affine Maximal Hypersurface
仿射 极大超曲面 伯恩斯坦定理
2023/4/13
Bernstein problem for affine maximal type hypersurfaces has been a core problem in affine geometry. A conjecture proposed firstly by Chern (Proc. Japan-United States Sem., Tokyo, 1977, 17-30) for enti...
The Schr鰀er-Bernstein property for a-saturated models
Schr鰀er-Bernstein property a-saturated models
2015/9/25
A first-order theory T has the Schr╫der-Bernstein (SB) property
if any pair of elementarily bi-embeddable models are isomorphic. We prove
that T has an expansion by constants with the SB property if...
The Schr鰀er-Bernstein property for weakly minimal theories
The Schr鰀er-Bernstein property weakly minimal theories
2015/9/25
For a countable, weakly minimal theory T, we show that the SchröderBernstein
property (any two elementarily bi-embeddable models are isomorphic)
is equivalent to each of the following:
1. For ...
The Schroder-Bernstein property for a-saturated models
Schroder-Bernstein property a-saturated models Logic
2012/3/1
A first-order theory T has the Schr\"oder-Bernstein (SB) property if any pair of elementarily bi-embeddable models are isomorphic. We prove that T has an expansion by constants that has the SB propert...
ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAXSERIES
Approximation theory polynomials Bernstein theorem minimax series
2007/12/12
In this paper, some results about approximation in a norm $S$ induced by
the minimax series are studied. Then a Bernstein-type theorem for the
norm $S$ is established. Finally the Bernstein theorem ...
This paper is devoted to the study of geometric structures modeled on homogeneous spaces G/P, where G is a real or complex semisimple Lie group and $P\subset G$ is a parabolic subgroup. We use method...
Differential invariants and curved Bernstein-Gelfand-Gelfand sequences
Differential invariants curved Bernstein-Gelfand-Gelfand sequences
2010/11/1
We give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural differential operators on a manifold equipped with a parabolic geometry. This method permits us to define the addit...