Results 11 to 20 of about 145 (132)
Nonimmersions and Nonembeddings of Quaternionic Spherical Space Forms [PDF]
Transactions of the American Mathematical Society, 1983 We determine the orders of the canonical elements in K O KO
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Totally Real Submanifolds in a Quaternion Space Form [PDF]
Czechoslovak Mathematical Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some characterizations of quaternionic space forms
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2000 The authors prove that any of the following two properties characterize quaternionic space forms in the class of quaternionic Kähler manifolds \(M\): 1) \(R(X,JX)X\) is proportional to \(JX\) for all tangent vectors \(X\in T_pM\) to \(M\) and all complex structures \(J\) on \(T_pM\) subordinate to the quaternionic structure.
Adachi, Toshiaki, Maeda, Sadahiro
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Slant submanifolds of quaternionic space forms [PDF]
Publicationes Mathematicae Debrecen, 2012 In this paper we establish some inequalities concerning the $k$-Ricci curvature of a slant submanifold in a quaternionic space form. We also obtain obstructions to the existence of quaternionic slant immersions in quaternionic space forms with unfull first normal bundle.
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Curvature-adapted real hypersurfaces in quaternionic space forms [PDF]
Kodai Mathematical Journal, 2001 In this paper the authors study curvature-adapted real hypersurfaces in quaternionic space forms. A hypersurface of a Riemannian manifold is called curvature-adapted if the normal Jacobi operator of the manifold commutes with the shape operator of the hypersurface.
Adachi, Toshiaki, Maeda, Sadahiro
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Dimension formula of cusp form spaces on half-spaces of quaternions
Chinese Science Bulletin, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
He, Yu, Lu, Hongwen
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Circles on quaternionic space forms
Journal of the Mathematical Society of Japan, 1996 A curve \(\gamma\) in a Riemannian manifold \(M\) is called a circle if it is parametrized by arc length and satisfies \(\nabla_XX=\kappa Y\) and \(\nabla_YY=-\kappa X\) for some constant \(\kappa>0\) and some unit vector field \(Y\) along \(\gamma\), where \(\nabla\) is the Levi-Civita connection of \(M\) and \(X\) is the unit tangent vector field of \
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Submanifolds of quaternion projective space with bounded second fundamental form [PDF]
Kodai Mathematical Journal, 1989 Let M be a smooth compact Riemannian manifold isometrically immersed in the quaternion projective space \(HP^ n(1)\). Let h denote the second fundamental form of M in \(HP^ n(1)\). For each unit vector u tangent to M, set \(\delta (u)=\| h(u,u)\|^ 2.\) In this article the authors determine all compact complex submanifolds of \(HP^ n(1)\) satisfying ...
Coulton, Patrick, Gauchman, Hillel
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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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