Results 1 to 10 of about 5,178 (157)
Projective group representations in quaternionic Hilbert space [PDF]
Journal of Mathematical Physics, 1996 We extend the discussion of projective group representations in quaternionic Hilbert space which was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then ...
Stephen L. Adler
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On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1993 A hypersurface \(M\) of a Riemannian manifold \(A\) is said to be cyclic- parallel, if its shape operator \(A\) satisfies \({\mathfrak S} \langle (\nabla_ X A)Y, Z\rangle = 0\) for all \(X\), \(Y\), \(Z\) tangent to \(M\) where \(\mathfrak S\) denotes the cyclic sum with respect to \(X\), \(Y\), \(Z\). In the paper the following is proved: Let \(N\) be
Juan de Dios Pérez
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A characterization of pseudo-Einstein real hypersurfaces in a quaternionic projective space [PDF]
, 1996 Let HPn be a quaternionic projective space, n≧3, with metric G of constant quaternionic sectional curvature 4, and let M be a connected real hypersurface of HPn. Let ζ be a unit local normal vector field on M and (I,J,K) a local basis of the quaternionic
Tatsuyoshi Hamada
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Minimal Δ(2)-Ideal Lagrangian Submanifolds and the Quaternionic Projective Space [PDF]
Journal of Geometry and Physics, 2023 We construct an explicit map from a generic minimal $δ(2)$-ideal Lagrangian submanifold of $\mathbb{C}^n$ to the quaternionic projective space $\mathbb{H}P^{n-1}$, whose image is either a point or a minimal totally complex surface. A stronger result is obtained for $n=3$, since the above mentioned map then provides a one-to-one correspondence between ...
Kristof Dekimpe +2 more
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Ambient surgery and tangential homotopy quaternionic projective spaces. [PDF]
Transactions of the American Mathematical Society, 1969 Introduction. In this paper the word manifold will always mean oriented compact C "-manifold. Unless otherwise specified, all homology and cohomology is taken with integral coefficients, and for Mn an n-manifold, [M] E Hn(M, AM) will denote the orientation class of M. A mapf: M-N between n-manifolds is of degree +1 iff*([M])=[N].
Douglas N. Hertz
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Real hypersurfaces in quaternionic projective space [PDF]
Annali di Matematica Pura ed Applicata, 1986 The paper is a systematic study of real hypersurfaces of quaternionic projective spaces via the focal set theory. By using the induced structures on a real hypersurface the authors obtain three classes of real hypersurfaces. Then by means of one of these classes they find an example of a proper quaternion CR-submanifold in the sense of \textit{M ...
Antonio Martínez, Juan de Dios Pérez
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Spaces which look like quaternionic projective 𝑛-space [PDF]
Transactions of the American Mathematical Society, 1982 The projective n n -spaces which correspond to the various multiplicative structures on the three sphere are studied. Necessary and sufficient conditions for a projective n n -space to extend to a projective n + 1 n+1 -space are described.
C. A. McGibbon
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Response to the Comment by G. Emch on projective group representations in quaternionic Hilbert space [PDF]
, 1996 We discuss the differing definitions of complex and quaternionic projective group representations employed by us and by Emch. The definition of Emch (termed here a strong projective representation) is too restrictive to accommodate quaternionic Hilbert ...
Stephen L. Adler
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The moduli space of points in quaternionic projective space [PDF]
Hiroshima Mathematical Journal, 2022 31 ...
Wensheng Cao
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