Results 101 to 110 of about 1,685 (212)

A characterization of a certain real hypersurface of type $({\rm A}_2)$ in a complex projective space [PDF]

open access: yes, 2017
summary:In the class of real hypersurfaces $M^{2n-1}$ isometrically immersed into a nonflat complex space form $\widetilde {M}_n(c)$ of constant holomorphic sectional curvature $c$ $(\ne 0)$ which is either a complex projective space $\mathbb {C}P^n(c ...
Kim, Byung Hak   +2 more
core   +1 more source

What Is a Simple Liquid?

open access: yesPhysical Review X, 2012
This paper is an attempt to identify the real essence of simplicity of liquids in John Locke’s understanding of the term. Simple liquids are traditionally defined as many-body systems of classical particles interacting via radially symmetric pair ...
Trond S. Ingebrigtsen   +2 more
doaj   +1 more source

On pseudo-Einstein ruled real hypersurfaces in complex space forms

open access: yes, 1999
In this paper we define the new notion of pseudo-Einstein ruled real hypersurfaces, which are foliated by the leaves of pseudo-Einstein complex hypersurfaces in complex space forms $M_{n}(c), c ≠ 0$.
Suh, Young Jin
core   +1 more source

Defining equations for real analytic real hypersurfaces in 𝐶ⁿ [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
A defining function for a real analytic real hypersurface can be uniquely written as 2 Re ⁡
openaire   +1 more source

Holomorphic extension of mappings of real hypersurfaces in Cn. [PDF]

open access: yes, 2008
Hui, Chun Yin.On t.p. "n" is a superscript.Thesis (M.Phil.)--Chinese University of Hong Kong, 2008.Includes bibliographical references (leaves 80-83).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.5Chapter 2 --- Basic properties of ...

core  

Real hypersurfaces of quaternionic projective space satisfying ▽UiR = 0

open access: yes, 1997
It is known that there do not exist real hypersurfaces with parallel curvature tensor in quaternionic projective spaces. In this paper we classify real hypersurfaces of quaternionic projective space whose curvature tensor is parallel in the direction of ...
Young Jin Suh,, de Dios Pérez, Juan
core   +1 more source

On real forms of Fermat hypersurfaces

open access: yes, 2023
In this paper, we compute the number of real forms of Fermat hypersurfaces for degree $d \ge 2$ except the degree 4 surface case, and give explicit descriptions of them.
openaire   +2 more sources

Real hypersurfaces in Kähler manifolds [PDF]

open access: yesAsian Journal of Mathematics, 2001
This paper is concerned with the geometry of embedded real hypersurfaces in a Kähler manifold, where isomorphisms are both holomorphic and isometric in the underlying Riemannian structure. The author introduces their local invariants and compatibility relations, solves the local realization problem, and gives a characterization of the metric sphere in \
openaire   +2 more sources

Ricci curvature of real hypersurfaces in complex hyperbolic space [PDF]

open access: yes, 2002
summary:First we prove a general algebraic lemma. By applying the algebraic lemma we establish a general inequality involving the Ricci curvature of an arbitrary real hypersurface in a complex hyperbolic space.
Chen, Bang-Yen
core  

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