Holomorphons on spheres

• Autorzy: Milewski J.
• Języki publikacji: EN

Abstrakty

EN

We consider Euler–Lagrange equations of families of nonnegative functionals defined on tensor fields of the type (1, 1), which are equal to zero only for complex structures tensor fields.

Słowa kluczowe

EN

Riemannian geometry; tensor field; f-structure; variational principle

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 1
• Strony: 13--22
• Opis fizyczny: bibliogr. 9 poz.

Twórcy

autor

Milewski J.

• Institute of Mathematics, Poznań University of Technology ul. Piotrowo 3A, 60-965 Poznań, Poland,

Bibliografia

• [1] A. Newlander, L. Nirenberg, Complex analytic coordinates in almost complex manifolds, Ann. Mat. 65 (1957), 391-404.
• [2] S. Kobayashi, K. Nomizu, Foundations of differential geometry I, II, Interscience Publications, New York 1963, 1969.
• [3] J. Milewski,Holomorphons and the standard almost complex structure on S^6, Commentationes Mathematicae, XLVI(2) (2006) 245-254.
• [4] J .Milewski, Holomorphons, Grant PB-43-035/04 BW, Poznań University of Technology, (2004).
• [5] K. Yano On a structure defined by a tensor field of type (1, 1) satisfying f^3 + f = 0, Tensor, 14 (1963), 99-109.
• [6] S. Ishikara, K. Yano, On integrability conditions of a structure f satisfying f^3+f = 0, Quart. J. Math. Oxford 15 (1964), 217-222.
• [7] A. Gray, A property of a Hypothetical Complex Structure on the Six Sphere, Boll. Un. Mat. It. B7 (11), n.2 (1997), 251-255.
• [8] A. Marshakov, A. I. Niemi Yang-Mills, Complex Structures and Chern's Last Theorem, Mod. Phys. Lett. A20 (2005), 2583-2600.
• [9] C. LeBrun, Orthogonal complex structure on S6, Proc. Amer. Math. Soc. 101 (1987), 136-138.