Results 11 to 20 of about 5,383,504 (242)

On the transformation group of a real hypersurface [PDF]

Transactions of the American Mathematical Society, 1977
The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the hypersurface is compact.
S. Webster
semanticscholar   +4 more sources

Pseudo-Hermitian structures on a real hypersurface

Journal of Differential Geometry, 1978
S. Webster
semanticscholar   +5 more sources

What is the total Betti number of a random real hypersurface [PDF]

, 2011
We bound from above the expected total Betti number of a high degree random real hypersurface in a smooth real projective manifold. This upper bound is deduced from the equirepartition of critical points of a real Lefschetz pencil restricted to the ...
D. Gayet, Jean-Yves Welschinger
semanticscholar   +2 more sources

Purity and hybridness of two tensors on a real hypersurface in complex projective space

Open Mathematics
On a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
doaj   +2 more sources

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahn Seong-Soo, Sung-Baik Lee, Kon, Mayuko, Seong-Soo Ahn, Lee Sung-Baik, Young-Jin Suh, Suh Young-Jin   +6 more
openaire   +3 more sources

Ruled Real Hypersurfaces in the Complex Quadric

The Journal of Geometric Analysis, 2021
First we introduce the notions of $$\eta $$ η -parallel and $$\eta $$ η -commuting shape operator for real hypersurfaces in the complex quadric $$Q^m = SO_{m+2}/SO_mSO_2$$ Q m = S O m + 2 / S O m S O 2 .
M. Kimura, Hyunjin Lee, J. Pérez, Y. Suh   +3 more
semanticscholar   +3 more sources

Some Real Hypersurfaces in Complex and Complex Hyperbolic Quadrics [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2020
We will consider real hypersurfaces in the complex quadric or the complex hyperbolic quadric. From the almost contact metric structure of such hypersurfaces, we can define on any real hypersurface, for any nonnull real number k , a k th generalized ...
Juan de Dios Pérez
semanticscholar   +2 more sources

Abundance of Real Lines on Real Projective Hypersurfaces [PDF]

International Mathematics Research Notices, 2012
We show that a generic real projective n-dimensional hypersurface of degree 2n-1 contains "many" real lines, namely, not less than (2n-1)!!, which is approximately the square root of the number of complex lines. This estimate is based on the interpretation of a suitable signed count of the lines as the Euler number of an appropriate bundle.
Finashin, Sergey, Kharlamov, Viatcheslav
openaire   +3 more sources

A Note on the Complexity of Real Algebraic Hypersurfaces [PDF]

Graphs and Combinatorics, 2011
This paper deals with the complexity of the computation of simplicial complexes in \(\mathbb{R}^d\) which are isotopic to real algebraic hypersurfaces in \(\mathbb{R}^d\). The author shows that in the case of curves in \(\mathbb{R}^d\), any stable isocomplex (i.e.
Kerber, M., Sagraloff, M.
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A characterization of a real hypersurface of type B

, 1990
departmental bulletin ...
U. Ki, H. Kim, H. Nakagawa
semanticscholar   +4 more sources