HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS

Title & Authors
HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS
Han, Chong-Kyu; Kim, Hye-Seon;

Abstract
Given an almost complex structure ($\small{\mathbb^{C}^m}$, J), $\small{m\geq2}$, that is defined by setting $\theta^{\alpha} Keywords almost complex manifolds;J-holomorphic functions;Nijenhuis tensor;Newlander-Nirenberg theorem; Language English Cited by 1. Partial integrability of almost complex structures and the existence of solutions for quasilinear Cauchy–Riemann equations, Pacific Journal of Mathematics, 2013, 265, 1, 59 2. Invariant submanifolds for systems of vector fields of constant rank, Science China Mathematics, 2016, 59, 7, 1417 References 1. H. Ahn and C. K. Han, Local geometry of Levi-forms associated with the existence of complex manifolds and the minimality of generic CR manifolds, J. Geom. Anal., to appear. 2. S. Berhanu, P. Cordaro, and J. Hounie, An Introduction to Involutive Structures, Cambridge U. Press, 2008. 3. R. L. Bryant, S. S. Chern, R. B. Gardner, H. L. Goldschmidt, and P. A. Griffiths, Exterior Differential Systems, Springer-Verlag, New York, 1991. 4. E. Cartan, Les systemes differentiels exterieurs et leurs applications geometriques, Herman, Paris, 1945. 5. R. Courant and D. Hilbert, Methods of Mathematical Physics, Vol. II, John Wiley and Sons, New York, 1962. 6. A. Frolicher, Zur Differentialgeometrie der komplexen Strukturen, Math. Ann. 129 (1955), 50-95. 7. T. Fukami and S. Ishihara, Almost Hermitian structure on$S^{6}\$, Tohoku Math. J. (2) 7 (1955), 151-156.

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