Results 21 to 30 of about 92,426 (217)
Integrability of almost complex structures on Banach manifolds [PDF]
arXiv, 2004 We prove that the classical integrability condition for almost complex structures on finite-dimensional smooth manifolds also works in infinite dimensions in the case of almost complex structures that are real analytic on real analytic Banach manifolds. As an application, we extend some known results concerning existence of invariant complex structures
Daniel Beltiţă
arxiv +3 more sources
A class of Hamilton-Jacobi equations on Banach-Finsler manifolds [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 The concept of subdifferentiability is studied in the context of $C^1$ Finsler manifolds (modeled on a Banach space with a Lipschitz $C^1$ bump function).
Jaramillo, J. A. +3 more
core +6 more sources
Symplectic structures on Banach manifolds [PDF]
Bulletin of the American Mathematical Society, 1969 Alan Weinstein
openalex +4 more sources
Center Manifolds of Differential Equations in Banach Spaces [PDF]
arXiv, 2017 The center manifold is useful for describing the long-term behavior of a system of differential equations. In this work, we consider an autonomous differential equation in a Banach space that has the exponential trichotomy property in the linear terms and Lipschitz continuity in the nonlinear terms.
Yu-Min Chung, Emily Schaal
arxiv +3 more sources
On the disc-convexity of complex Banach manifolds [PDF]
Annales Polonici Mathematici, 1998 The Banach hyperbolicity and disc-convexity of complex Banach manifolds and their relations are investigated.
Do Duc Thai, Nguyễn Thị Thu Hương
openalex +3 more sources
The Banach-Tarski paradox for flag manifolds [PDF]
arXiv, 2011 The famous Banach-Tarski paradox claims that the three dimensional rotation group acts on the two dimensional sphere paradoxically. In this paper, we generalize their result to show that the classical group acts on the flag manifold paradoxically.
Komori, Yohei, Umemoto, Yuriko
arxiv +3 more sources
Quantum Statistical Manifolds [PDF]
Entropy, 2018 Quantum information geometry studies families of quantum states by means of differential geometry. A new approach is followed with the intention to facilitate the introduction of a more general theory in subsequent work.
Jan Naudts
doaj +2 more sources
Ck Invariant Manifolds for Maps of Banach Spaces
Journal of Mathematical Analysis and Applications, 2002 AbstractIn this work we give a unified proof for the existence, under appropriate gap conditions, of the standard invariant manifolds for a Ck map of a Banach space near a fixed point where k≥1 is an integer.
Mohamed Sami ElBialy
openalex +3 more sources
A Deformed Exponential Statistical Manifold [PDF]
Entropy, 2019 Consider μ a probability measure and P μ the set of μ -equivalent strictly positive probability densities. To endow P μ with a structure of a C ∞ -Banach manifold we use the φ ...
Francisca Leidmar Josué Vieira +3 more
doaj +2 more sources
Lie transformation groups of Banach manifolds [PDF]
Journal of Differential Geometry, 1971 Ottmar Loos
openalex +4 more sources