Results 41 to 50 of about 4,884,947 (262)
A Poisson transform adapted to the Rumin complex
, 2020 Let $G$ be a semisimple Lie group with finite center, $K\subset G$ a maximal compact subgroup, and $P\subset G$ a parabolic subgroup. Following ideas of P.Y.\ Gaillard, one may use $G$-invariant differential forms on $G/K\times G/P$ to construct $G ...
Cap, Andreas +2 more
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Isotropic Immersions of Complex Space Forms into Real Space Forms and Mean Curvatures [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 First, the author finds a sufficient condition for an isotropic immersion of a complex space form into a real space form to be parallel. Then he extends the result to isotropic immersions of quaternionic space forms into real space forms. In each case, the sufficient condition is expressed in terms of the mean curvature of the submanifold, its ...
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Real Hypersurfaces with $^{*}$-Ricci Solitons of Non-flat Complex Space Forms [PDF]
Tokyo Journal of Mathematics, 2017 Kaimakamis and Panagiotidou in \cite{KP} introduced the notion of $^*$-Ricci soliton and studied the real hypersurfaces of a non-flat complex space form admitting a $^*$-Ricci soliton whose potential vector field is the structure vector field.
Xiaomin Chen
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Kähler maps of Hermitian symmetric spaces into complex space forms
Geometriae Dedicata, 2007 The authors study Kähler immersions of Hermitian symmetric spaces into finite- or infinite-dimensional complex space forms, in particular Kähler immersions of such spaces of noncompact type endowed with their Bergman metrics into the infinite-dimensional hyperbolic space \(\mathbb{C} H^\infty\) or the infinite-dimensional Euclidean space \(\ell^2 ...
LOI, ANDREA, DI SCALA A. J.
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Maslovian Lagrangian immersions of real space forms into complex space forms
Japanese journal of mathematics. New series, 2004 Consider a Lagrangian immersion, i.e., an immersion of a Riemannian manifold \(M\) into a Kähler \(n\)-manifold \(\overline{M}\) such that it is an isometric immersion whose complex structure \(J\) of \(\overline{M}\) interchanges each tangent space of \(M\) with its corresponding normal space.
Chen, Bang-Yen, Garay, Oscar J.
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Some characterizations of Pseudo-Complex space forms
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 In Duke Math. J. 40, 797-799 (1973; Zbl 0274.53021) the reviewer and \textit{K. Ogiue} proved that a Kähler manifold is a complex space-form if and only if it has constant anti-holomorphic sectional curvature. In this article, the authors extend this result to a pseudo-Kähler manifold.
Nagaich, R. K., Husain, S. I.
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Classification of $\delta(2,n-2)$-ideal Lagrangian submanifolds in $n$-dimensional complex space forms [PDF]
, 2017 It was proven in [B.-Y. Chen, F. Dillen, J. Van der Veken and L. Vrancken, Curvature inequalities for Lagrangian submanifolds: the final solution, Differ. Geom. Appl.
Bang‐Yen Chen +3 more
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Kaehler Submanifolds of Complex Space Forms
Tokyo Journal of Mathematics, 1987 Under the notion ``diastasis'' introduced by \textit{E. Calabi} [Ann. Math., II. Ser. 58, 1-23 (1953; Zbl 0051.131)] the author proves the following theorem: Any two complex space forms of different types have no Kaehler submanifold in common, that is, (1) a Kaehler submanifold of \({\mathbb{C}}^ N\) cannot be a Kaehler submanifold of any complex ...
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Journal of Mathematical Analysis and Applications, 2018 In this paper, we establish an optimal inequality involving normalized δ-Casorati curvature δ C ( n − 1 ) of Lagrangian submanifolds in n-dimensional complex space forms. We derive a very singular and unexpected result: the lower bounds of the normalized
G. Vîlcu
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Conditions of parallelism of *-Ricci tensor of three dimensional real hypersurfaces in non-flat complex space forms [PDF]
, 2016 This paper focuses on the study of three dimensional real hypersurfaces in non-flat complex space forms whose $^{*}$-Ricci tensor satisfies conditions of parallelism.
Georgios Kaimakamis, K. Panagiotidou
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