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Circles in a complex projective space

Circles in a complex projective space
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Quantization on the Complex Projective Space

Data Compression Conference (DCC'06), 2006
This paper derives bounds on the asymptotic expected distortion (high rate) for quantization on the complex projective space denoted as /spl Copf/P/sup n-1/. In essence the problem of quantization in an Euclidean space with constraints can be posed as an unconstrained problem on an appropriate manifold.
Bishwarup Mondal, Satyaki Dutta, Robert W. Heath Jr.   +2 more
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On Contact Submanifolds in Complex Projective Spaces

Mathematische Nachrichten, 1999
AbstractWe treat n‐dimensional real submanifolds of complex projective spaces in the case when the maximal holomorphic tangent subspace is (n ‐ 1)‐dimensional. In particular, we study the case when the induced almost contact structure on a submanifold is contact, we establish a few characteristics of the shape operator with respect to the distinguished
Djorić, Mirjana, Okumura, Masafumi
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The eigen functions of the complex projective space

Acta Mathematica Sinica, 1998
Let \(\lambda_0=0\leq \lambda_1\leq\ldots\leq \lambda_p\leq\dots,\) be the eigenvalues of the Laplace-Beltrami operator on complex projective space \(\mathbb{C} P^n\) and \({\mathcal H}_p\) be the space of eigenvectors corresponding to \(\lambda_p\).
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Matrices, Eigenvalues and Complex Projective Space

The American Mathematical Monthly, 1978
(1978). Matrices, Eigenvalues, and Complex Projective Space. The American Mathematical Monthly: Vol. 85, No. 9, pp. 727-733.
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On canonical embeddings of complex projective spaces in real projective spaces

Journal of Mathematical Sciences, 2007
From the author's introduction: In the present paper, we study the canonical embedding of \(\mathbb{C}P^n\) in the \(U(n+1)\)-space \(\mathbb{R}P^{n^2+2n}\). The fact that this embedding is natural allows one to hope that complex projective geometry can be invariantly characterized in terms of real projective geometry.
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Embedding Complex Projective Spaces in Euclidean Space

Bulletin of the London Mathematical Society, 1981
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Metric Learning on Complex Projective Spaces

2022
Yujin Wu, Mohamed Daoudi
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CR submanifolds of maximal CR dimension of complex projective space

Archiv Der Mathematik, 1998
Masafumi Okumura, Mirjana Djorić
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