Results 111 to 120 of about 1,685 (212)

REAL HYPERSURFACES WITH φ-INVARIANT SHAPE OPERATOR IN A COMPLEX PROJECTIVE SPACE

open access: yes, 2010
We characterize real hypersurfaces of type (A) and ruled real hypersurfaces in a complex projective space in terms of two φ-invariances of their shape operators, and give geometric meanings of these real hypersurfaces by observing their some geodesics.
HIROO NAITOH, SADAHIRO MAEDA
core   +1 more source

Real Hypersurfaces with Killing Shape Operator in the Complex Quadric [PDF]

open access: yes, 2017
We introduce the notion of Killing shape operator for real hypersurfaces in the complex quadric $Q^m = SO_{m+2}/SO_m SO_2$. The Killing shape operator condition implies that the unit normal vector field $N$ becomes $\mathfrak{A}$-principal or $\mathfrak ...
Juan de Dios Pérez   +7 more
core   +1 more source

Geometry of hypersurfaces

open access: yes, 2015
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf ...
Cecil, Thomas E, Ryan, Patrick J
core   +1 more source

On real hypersurfaces of complex projextive space

open access: yes, 2001
application/pdfThe purpose of the present paper is to survey and to show some new results with respect to characterizations of real hypersurfaces of CPn【査読有】departmental bulletin ...
MATSUYAMA, Yoshio
core   +1 more source

A CHARACTERIZATION OF REAL HYPERSURFACES OF COMPLEX PROJECTIVE SPACE III [PDF]

open access: yes
application/pdfIn [5] and [6] we showed a characterization of real hypersurfaces of type $A_{1}$ and $A_{2}$ (see Introduction) among all real hypersurfaces of complex projective space.
29874, Matsuyama, Yoshio
core   +1 more source

Formal biholomorphic maps of real-analytic hypersurfaces

open access: yes, 2000
International audienceLet $f : (M,p) \rightarrow (M',p')$ be a formal biholomorphic mapping between two germs of real analytic hypersurfaces in $\C^n$, $p'=f(p)$.
Mir, Nordine
core  

Intersections of Real Symmetric Hypersurfaces

open access: yes
8 pages.
Lidz, Samuel   +2 more
openaire   +2 more sources

Real hypersurfaces of $e$-$(J^4=1)$-Kaehler manifolds

open access: yes, 1994
[EN]We study the geometry of real hypersurfaces immersed in e-(J⁴ = 1)-Kaehler manifolds, a class of semi-Riemannian manifolds that generalizes both classical Kaehler and para-Kaehler structures. After recalling the fundamental definitions and properties
Bejancu, Aurel, Santos García, Gustavo
core   +1 more source

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