Curvature identities derived from an integral formula for the first Chern number

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참고문헌 (19)

1. M. Berger, "Quelques formules de variation pour une structure riemannienne", Ann. Sci. E cole Norm. Sup, 3, pp.285~294 (1970)
2. D. E. Blair, "Critical associated metrics on symplectic manifolds, Nonlinear problems in geometry, In Contemp. Math., 51", pp.23~29 (1986), Amer. Math. Soc.
3. Y. Euh, "A Curvature identity on a 4-dimensional Rie- mannian manifold", Results in Mathematics[DOI]
4. Y. Euh, "A generalization of 4-dimensional Einstein manifold", Mathematica Slovaca
5. Y. Euh, "Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds", Differential Geom. Appl, 29(5), pp.642~646 (2011)
6. P. Gilkey, "Universal curvature identities", Differential Geom. Appl, 29(6), pp.770~778 (2011)
7. P. Gilkey, "Universal curvature identities II", J. Geom. Phys, 62(4), pp.814~825 (2012)
8. O. Gil-Medrano, "Geodesics on spaces of almost Hermitian structures", Israel J. Math, 88(1), pp.319~332 (1994)
9. A. Gray, "The Chern numbers of holomor- phic vector bundles and formally holomorphic connections of complex vector bundles over almost complex manifolds", J. Reine Angew. Math, 314, pp.84~98 (1980)
10. A. Gray, "The sixteen classes of almost Hermitian manifolds", Ann. Mat. Pura Appl, 123, pp.35~58 (1980)
11. G. M. Kuz’mina, "Some generalizations of the Riemann spaces of Einstein", Math. Notes, 16(1974), pp.961~963 (1974)
12. M. L. Labbi, "Variational properties of the Gauss-Bonnet curvatures", Calc. Var. Partial Differential Equations, 32(2), pp.175~189 (2008)
13. 이정환, "NOTES ON CRITICAL ALMOST HERMITIAN STRUCTURES", 대한수학회보, 47(1), pp.167~178 (2010), 대한수학회
14. P. Libermann, "Classification and conformal properties of almost Hermitian structures, Differential geometry", pp.371~391 (1982), Colloq. Math. Soc. Jnos Bolyai
15. S. P. Novikov, "Topological invariance of rational classes of Pontrjagin", Dokl. Akad. Nauk SSSR, 163, pp.298~300 (1965)
16. K. Sekigawa, "On some 4-dimensional compact almost Hermitian manifolds", J. Ramanu- jan Math. Soc, 2(2), pp.101~116 (1987)
17. F. Tricerri, "Curvature tensors on almost Hermitian manifolds", Trans. Amer. Math. Soc, 267(2), pp.365~397 (1981)
18. W. T. Wu, "Sur la structure presque complexe d’une variete differentiable reelle de dimension 4", C. R. Acad. Sci. Paris, 227, pp.1076~1078 (1948)
19. K. Yano, "Differential Geometry on Complex and Almost Complex Spaces" (1965), Pergamon Press

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