## Indiana University Mathematics Journal, Volume 23, Issue 3 |

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### Contents

RALPH GELLAR DOMINGO A HERRERO Hyperirwariant | 771 |

W S MASSEY Imbeddings of projective planes and related manifolds | 791 |

ALBERT VITTER On the curvature of complex hypersurfaces | 813 |

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assume asymptotic Banach algebra Banach space bounded C*-algebras choose coefficients cohomology theory commutative compact completes the proof complex component constant contains continuous converges coordinates Corollary curvature defined definition deformation retract denote differential dimensional eigenvalues element equation example exists finite follows function Hence Hilbert space holomorphic homotopy Hopf Hopf invariant hypersurface identity imbedding implies Indiana University Mathematics inequality integral invariant subspaces isomorphism L-space Lebesgue Lebesgue measure Lemma Let f linear M-S covering Math matrix maximal monomial measure metric monomial neighborhood nilpotent nilpotent point norm obtain orbit polynomial positive projective planes proof of Theorem Proposition prove representation result rotation invariant satisfies Schauder basis secondary cohomology theory sectional curvature solution spectral operator spectrum subset sufficiently small Suppose tangent trace class University Mathematics University Mathematics Journal vector zero