Affine rotation surfaces of elliptic type in Affine 3-space
نویسندگان
چکیده
منابع مشابه
Parallel surfaces in affine 4 - space
We study affine immersions as introduced by Nomizu and Pinkall. We classify those affine immersions of a surface in R 4 which are degenerate and have vanishing cubic form (i.e. parallel second fundamental form). This completes the classification of parallel surfaces of which the first results were obtained in the beginning of this century by Blaschke and his collaborators.
متن کاملRealization of locally extended affine Lie algebras of type $A_1$
Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras. After that, various generalizations of these Lie algebras have been investigated by others. It is known that a locally extended affine Lie algebra can be recovered from its centerless core, i.e., the ideal generated by weight...
متن کاملAffine like Surfaces
If X is a variety, then X is affine if and only if H(X,F) = 0 for all coherent sheaves F and for all positive i. This paper deals with the following natural question: Question: Classify all smooth varieties X (over C) with H(X,ΩjX) = 0 for all j and for all positive i. Of course if dimX = 1 such an X is affine. Here we deal with the case of surfaces and completely classify them. This question w...
متن کاملAffine surface area and convex bodies of elliptic type
If a convex body K in R is contained in a convex body L of elliptic type (a curvature image), then it is known that the affine surface area of K is not larger than the affine surface area of L. We prove that the affine surface areas of K and L can only be equal if K = L. 2010 Mathematics Subject Classification: primary 52A10; secondary 53A15
متن کاملAffine Isometric Embedding for Surfaces
A strictly convex hypersurface in Rn can be endowed with a Riemannian metric in a way that is invariant under the group of (equi)affine motions. We study the corresponding isometric embedding problem for surfaces in R3. This problem is formulated in terms of a quasilinear elliptic system of PDE for the Pick form. A negative result is obtained by attempting to invert about the standard embedding...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Thermal Science
سال: 2020
ISSN: 0354-9836,2334-7163
DOI: 10.2298/tsci200405260e