Results 1 to 10 of about 633,978 (207)
Stability of complex hyperbolic space under curvature-normalized Ricci flow [PDF]
Geometriae Dedicata, 2012 Using the maximal regularity theory for quasilinear parabolic systems, we prove two stability results of complex hyperbolic space under the curvature-normalized Ricci flow in complex dimensions two and higher.
C. Guenther +21 more
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Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces [PDF]
Analysis and Geometry in Metric Spaces, 2015 We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Buyalo Sergei, Schroeder Viktor
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Groups Quasi-isometric to Complex Hyperbolic Space [PDF]
Transactions of the American Mathematical Society, 1996 The paper studies the problem: which groups are quasi-isometric to a given metric space. Here one takes the word metric on a finitely generated group, and a quasi-isometry between two metric spaces is a map whose image intersects every sufficiently large ball and which does not distort large scale distances by more than a bounded factor.
Richard Chow
semanticscholar +2 more sources
Commuting isometries of the complex hyperbolic space [PDF]
Proceedings of the American Mathematical Society, 2010 Let $H^n$ denote the complex hyperbolic space of dimension $n$. The group $U(n,1)$ acts as the group of isometries of $H^n$. In this paper we investigate when two isometries of the complex hyperbolic space commute.
W. Cao, Krishnendu Gongopadhyay
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On a characterization of the complex hyperbolic space [PDF]
Journal of Differential Geometry, 2008 Consider a compact K\"{a}hler manifold $M^m$ with Ricci curvature lower bound $Ric_M\geq -2(m+1) .$ Assume that its universal cover $% \widetilde{M}$ has maximal bottom of spectrum $\lambda_1(\widetilde{M}%) =m^2.$ Then we prove that $\widetilde{M}$ is ...
Ovidiu Munteanu
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Weakly supervised video anomaly detection based on hyperbolic space
Scientific ReportsIn recent years, there has been a proliferation of weakly supervised methods in the field of video anomaly detection. Despite significant progress in existing research, these efforts have primarily focused on addressing this issue within Euclidean space.
Meilin Qi, Yuanyuan Wu
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Coquaternionic Quantum Dynamics for Two-level Systems [PDF]
Acta Polytechnica, 2011 The dynamical aspects of a spin-1/2 particle in Hermitian coquaternionic quantum theory are investigated. It is shown that the time evolution exhibits three different characteristics, depending on the values of the parameters of the Hamiltonian.
D. C. Brody, E. M. Graefe
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HC-SPA: Hyperbolic Cosine-Based Symplectic Phase Alignment for Fusion Optimization [PDF]
SensorsIn multimodal collaborative learning, the gradient dynamics of heterogeneous modalities face significant challenges due to the curvature heterogeneity of parameter manifolds and mismatches in phase evolution.
Wenlong Zhang +3 more
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Real hypersurfaces of a complex hyperbolic space
Journal of the Mathematical Society of Japan, 1985 In this paper, using focal point theory, the author classifies real hypersurfaces of a complex hyperbolic space with a few principal curvatures, giving some examples of such type of hypersurfaces. Also, he proves that there exists no Einstein real hypersurfaces in the complex hyperbolic space and he classifies those that satisfy a weaker condition on ...
S. Montiel
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Contact hypersurfaces of a complex hyperbolic space
Tohoku Mathematical Journal, 1987 It is shown that complete connected contact hypersurfaces of \({\mathbb{C}}H^ n(-4)\) (complex hyperbolic space with Bergman metric), \(n\geq 3\), are congruent to totally geodesic hypersurfaces, horospheres or tubes of positive radii around totally geodesic n-dimensional real hyperbolic space forms imbedded in \({\mathbb{C}}H^ n(-4)\). The author uses
M. H. Vernon
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