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Euclidean $n$-planes in pseudo-euclidean spaces and differential geometry of Cartan domains
Author:
Yung-Chow Wong
Journal:
Bull. Amer. Math. Soc. 75 (1969), 409-414
MathSciNet review:
0251655
Full-text PDF
References |
Additional Information
- 1.
Eugenio
Calabi and Edoardo
Vesentini, On compact, locally symmetric Kähler
manifolds, Ann. of Math. (2) 71 (1960),
472–507. MR 0111058
(22 #1922b)
- 2.
Elie
Cartan, Sur certaines formes Riemanniennes remarquables des
géométries à groupe fondamental simple, Ann. Sci.
École Norm. Sup. (3) 44 (1927), 345–467
(French). MR
1509283
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E. Cartan, Sur les domaines bornès homogènes de l'espace de n variables complexes, Abh. Math. Sem. Univ. Hamburg 11 (1935), 116-162.
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Loo-Keng
Hua, On the theory of automorphic functions of a matrix level. I.
Geometrical basis, Amer. J. Math. 66 (1944),
470–488. MR 0011133
(6,124b)
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L.
K. Hua, Harmonic analysis of functions of several complex variables
in the classical domains, Translated from the Russian by Leo Ebner and
Adam Korányi, American Mathematical Society, Providence, R.I., 1963.
MR
0171936 (30 #2162)
- 6.
K. H. Look, Classical manifolds and classical domains, Shanghai, 1963 (in Chinese).
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Carl
Ludwig Siegel, Symplectic geometry, Amer. J. Math.
65 (1943), 1–86. MR 0008094
(4,242b)
- 8.
Yung-chow
Wong, Differential geometry of Grassmann manifolds, Proc. Nat.
Acad. Sci. U.S.A. 57 (1967), 589–594. MR 0216433
(35 #7266)
- 9.
Yung-chow
Wong, Conjugate loci in Grassmann
manifolds, Bull. Amer. Math. Soc. 74 (1968), 240–245. MR 0220219
(36 #3285), http://dx.doi.org/10.1090/S0002-9904-1968-11903-2
- 10.
Yung-chow
Wong, Sectional curvatures of Grassmann manifolds, Proc. Nat.
Acad. Sci. U.S.A. 60 (1968), 75–79. MR 0229173
(37 #4747)
- 1.
- E. Calabi and E. Vesentini, On compact locally symmetric Kähler manifolds, Ann. of Math. (2)71 (1960), 472-507. MR 111058
- 2.
- E. Cartan, Sur certaines formes riemanniennes remarquables des geometries à groupe fondamental simple, Ann. Sci. École Norm. Sup. 44 (1927), 345-467. MR 1509283
- 3.
- E. Cartan, Sur les domaines bornès homogènes de l'espace de n variables complexes, Abh. Math. Sem. Univ. Hamburg 11 (1935), 116-162.
- 4.
- L. K. Hua, On the theory of automorphic functions of a matrix variable. I: Geometrical basis, Amer. J. Math. 66 (1944), 470-488. MR 11133
- 5.
- L. K. Hua, Harmonic analysis of functions of several complex variables in the classical domains, Transl. Math. Monographs, vol. 6, Amer. Math. Soc., Providence, R.I., 1963. MR 171936
- 6.
- K. H. Look, Classical manifolds and classical domains, Shanghai, 1963 (in Chinese).
- 7.
- C. L. Siegel, Symplectic geometry, Amer. J. Math. 55 (1943), 1-86. MR 8094
- 8.
- Y. C. Wong, Differential geometry of Grassmann manifolds, Proc. Nat. Acad. Sci. U.S.A. 57 (1967), 589-594. MR 216433
- 9.
- Y. C. Wong, Conjugate loci in Grassmann manifolds, Bull. Amer. Math. Soc. 74 (1968), 240-245. MR 220219
- 10.
- Y. C. Wong, Sectional curvature of Grassmann manifolds, Proc. Nat. Acad. Sci. U.S.A. 58 (1968), 75-79. MR 229173
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1969-12198-1
PII:
S 0002-9904(1969)12198-1
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