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Zawartość
Pełne teksty:
Warianty tytułu
Abstrakty
CONTENTS
Introduction.................................................................................................................................................5
1. Preliminaries...........................................................................................................................................6
2. f-Kählerian manifolds............................................................................................................................11
3. The f-sectional curvature of f-Kählerian manifolds...............................................................................20
4. Complete f-Kählerian manifolds............................................................................................................27
5. Cosymplectic structures. Structures induced on submanifolds of Kählerian manifolds.........................34
References...............................................................................................................................................45
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Rozprawy Matematyczne
tom/nr w serii:
249
Liczba stron
45
Liczba rozdzia³ów
Opis fizyczny
Dissertationes Mathematicae, Tom CCXLIX
Daty
otrzymano
1982-09-16
wydano
1986
Twórcy
autor
Bibliografia
- [1] M. Ako, Submanifolds of a Kählerian manifold, Kodai Math. Sem. Rep, 20 (1968), 1-11.
- [2] A. Bejancu, CR submanifolds of a Kähler manifold, Proc. Amer. Math. Soc. 69 (1978), No 1, 135-142.
- [3] M. Berger, Piencement riemannien et piencement holomorphe, Ann. Scuola Norm. Sup. Pisa, 14 (I960), 151-159.
- [4] D. E. Blair, Geometry of manifolds with structural group U(n)×O(n). J. Differential Geom. 4 (1970) 155-169.
- [5] D. E. Blair, The theory of quasi-Sasakian structures, J. Differential Geom, 1 (1967), 331-345.
- [6] D. E. Blair, Contact Manifolds in Riemannian Geometry, Springer Lecture Notes, 509 (1976).
- [7] J. Bureš, J. Vanžura, Metric polynomial structures, Kodai Math. Sem. Rep, 27 (1976), 345-352.
- [8] T. T. Frankel, Manifolds with positive curvature, Pacific J. Math. 11 (1961), 165-174.
- [9] S. I. Goldberg, Totally geodesic hypersurfaces of Kaehler manifolds. Pacific J. Math, 27 (1968), 275-281.
- [10] A. Gray, Some examples of almost Hermitian manifolds, Illinois J. Math, 10 (1966), 353-366.
- [11] J. Gray, Some global properties of contact structures, Ann. Math. 69 (1959) 421-450.
- [12] S. T. Hu, Homotopy Theory, Academic Press, New York 1959.
- [13] Y. Ichijo, On almost contact metric manifolds admitting parallel fields of null planes, Tohoku Math. J. 16, (1964) 123-129.
- [14] E. T. Kobayashi, A remark on the Nijenhuis tensor, Pacific J. Math, 12 (1962), 963-977.
- [15] S. Kobayashi, Transformation Groups in Differential Geometry, Ergeb. der Math. Springer Verlang Berlin, 1972.
- [16] S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, vol. I and II, Interscience Publishers 1963, 1969.
- [17] J. Lehmann-Lejeune lntegrabilitie des G-structures definies par une 1-forme 0-deformable a valeur dans le fibre tangent, Ann. Inst. Fourier (Grenoble) 16, 2 (1966), 327-387.
- [18] G. D. Ludden, Submanifolds of cosymplectic manifolds, J. Differential Geom. (1970), 2, 237-245.
- [19] M. Okumura, Cosymplectic hypersurfaces in Kählerian manifolds of constant holomorphic sectional curvature, Kodai Math. Sem. Rep, 17 (1965), 63-73.
- [20] M. Okumura, Certain almost contact hypersurfaces in Kaehlerian manifolds of constant holomorphic sectional curvature, Tohoku Math. J, 16 (1964), 270-284.
- [21] R. E. Stong, The rank of an f-structure, Kodai Math. Sem. Rep, 29 (1977), 207-209.
- [22] Y. Tsukamoto, On Kaehlerian manifolds with positive holomorphic sectional curvature, Proc. Japan Acad. 33 (1957), 333-335.
- [23] A. G. Walker, Almost product structures, Proc. Symp. Pure Math, III (1961), 94-100.
- [24] J. Vanžura, Integrability conditions for polynomial structures, Kodai Math. Sem. Rep, 27 (1976), 42-50.
- [25] Y. C. Wong, Existence of linear connections with respect to which given tensor fields are parallel or recurrent, Nagoya Math. J, 24 (1964).
- [26] K. Yano, S. Ishihara, The f-structures induced on submanifolds of complex and almost complex spaces, Kodai Math. Sem. Rep, 18 (1966), 271-292.
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