نتایج جستجو برای: euclidean 4 space

تعداد نتایج: 1756870  

With domination of Kant's epistemology and instrumental reason in social science and human geography, interpretation of  space have been based on neo physics that often it is equivalent with intuitive and physical  experience and the place of capital and it's reproduction. Therefore we firstly have represented of ontological transform of space concept and by the way we enumerate the c...

Journal: :Bulletin of the American Mathematical Society 1941

Journal: :Journal of Computational and Applied Mathematics 2015

Journal: :sahand communications in mathematical analysis 0
firooz pashaie department of mathematics, faculty of basic sciences, university of maragheh, p.o.box 55181-83111, maragheh, iran. akram mohammadpouri department of mathematics, university of tabriz, tabriz, iran.

biharmonic surfaces in euclidean space $mathbb{e}^3$ are firstly studied from a differential geometric point of view by bang-yen chen, who showed that the only biharmonic surfaces are minimal ones. a surface $x : m^2rightarrowmathbb{e}^{3}$ is called biharmonic if $delta^2x=0$, where $delta$ is the laplace operator of $m^2$. we study the $l_k$-biharmonic spacelike hypersurfaces in the $4$-dimen...

Biharmonic surfaces in Euclidean space $mathbb{E}^3$ are firstly studied from a differential geometric point of view by Bang-Yen Chen, who showed that the only biharmonic surfaces are minimal ones. A surface $x : M^2rightarrowmathbb{E}^{3}$ is called biharmonic if $Delta^2x=0$, where $Delta$ is the Laplace operator of $M^2$. We study the $L_k$-biharmonic spacelike hypersurfaces in the $4$-dimen...

A. Mohammadpouri, F. Pashaie, S. Tajbakhsh,

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...

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