Certain almost contact hypersurfaces in Euclidean spaces

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

$L_1$-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures

Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing $Delta$ by its extension, $L_1$-operator ($L_1$-conjecture). The $L_1$-conjecture states that any $L_1$-biharmonic Euclidean hypersurface is 1-minimal. We prove that the $L_1$-conje...

متن کامل

Lorentzian Geodesic Flows between Hypersurfaces in Euclidean Spaces

There are several approaches to this question. One is from the perspective of a Riemannian metric on the group of diffeomorphisms of R. If the smooth hypersurfaces Mi bound compact regions Ωi , then the group of diffeomorphisms Diff(R) acts on such regions Ωi and their boundaries. Then, if φt, 1 ≤ t ≤ 1, is a geodesic in Diff(R) beginning at the identity, then φt(Ω) (or φt(Mi)) provides a path ...

متن کامل

On the Imbeddability of Certain Complexes in Euclidean Spaces

1. Statement of results. Let SPW/ e" (0 <p <q) denote the complex obtained by attaching a g-cell e" to the ^-sphere Sp by means of a continuous map/: SQ~l—»Sp. Thus Sp^J/eq is the union of the mapping cylinder of/ with a cone over Sa_1. In this note we consider the problem of imbedding such a complex in euclidean space or, equivalently, in a sphere. It is clear that the mapping cylinder of/ can...

متن کامل

Tangent Bundle of the Hypersurfaces in a Euclidean Space

Let $M$ be an orientable hypersurface in the Euclidean space $R^{2n}$ with induced metric $g$ and $TM$ be its tangent bundle. It is known that the tangent bundle $TM$ has induced metric $overline{g}$ as submanifold of the Euclidean space $R^{4n}$ which is not a natural metric in the sense that the submersion $pi :(TM,overline{g})rightarrow (M,g)$ is not the Riemannian submersion. In this paper...

متن کامل

Lacunary Almost Summability in Certain Linear Topological Spaces

In this paper, the concept of lacunary almost summability of sequences in locally convex spaces has been defined and investigated. It is also proved Kojima-Schur and SilvarmanToeplitz type theorems for lacunary almost conservatively and lacunary almost regularity of the which transform sequences in a Frechet space into a sequence in an other Frechet space. We also stated that the same results h...

متن کامل

ذخیره 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: Kodai Mathematical Journal

سال: 1964

ISSN: 0386-5991

DOI: 10.2996/kmj/1138844859