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Umehara algebra and complex submanifolds of indefinite complex space forms
The Umehara algebra is studied with motivation on the problem of the non-existence of common complex submanifolds. In this paper, we prove some new...
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Complex Symmetric Composition Operators on the Hardy Space of the Unit Ball
In this paper, we introduce a new conjugation induced by a sequence of symmetric unitary n × n matrices on ℂ n . And we completely characterize the...
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The Holomorphic Statistical Structures of Constant Holomorphic Sectional Curvature on Complex Space Forms
In this paper, we prove the non-existence of non-trivial statistical structures of constant holomorphic sectional curvature based on complex space...
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Polyharmonic hypersurfaces into complex space forms
We characterize homogeneous hypersurfaces in complex space forms which arise as critical points of a higher order energy functional. As a...
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The string topology coproduct on complex and quaternionic projective space
On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these...
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Minimal surfaces and Colding-Minicozzi entropy in complex hyperbolic space
We study notions of asymptotic regularity for a class of minimal submanifolds of complex hyperbolic space that includes minimal Lagrangian...
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Normal Holomorphic Map**s in Complex Space
We study normal holomorphic map**s on complex spaces and complex manifolds. Applications are provided.
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Chen–Ricci inequalities for quasi bi-slant Riemannian submersions from complex space forms
First, we derive various curvature inequalities involving Ricci and scalar curvatures of horizontal and vertical distributions of a quasi bi-slant...
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Parallelism of Structure Lie Operators on Real Hypersurfaces in Nonflat Complex Space Forms
In this paper, it is proved that the structure Lie operator of a real hypersurface in a nonflat complex space form is parallel with respect to the...
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New characterizations of ruled real hypersurfaces in complex projective space
We consider real hypersurfaces M in complex projective space equipped with both the Levi–Civita and generalized Tanaka–Webster connections. For any...
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Yamabe and Quasi-Yamabe Solitons on Hypersurfaces in the Complex Hyperbolic Space
In this paper, we give a complete classification of Yamabe solitons and gradient Yamabe solitons on real hypersurfaces in the complex hyperbolic...
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Real hypersurfaces in a nonflat complex space form whose certain tensor is recurrent
Real hypersurfaces in a nonflat complex space form (namely, a complex projective space or a complex hyperbolic space) are interesting objects among...
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Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
The main two families of real hypersurfaces in complex space forms are Hopf and ruled. However, very little is known about real hypersurfaces in the...
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Complex symmetry of linear combinations of composition operators on the Fock space
In this paper, we solve a new problem about complex symmetry. We give a complete characterization of linear combinations of composition operators on...
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Conformally flat, minimal, Lagrangian submanifolds in complex space forms
We investigate n -dimensional ( n ⩾ 4), conformally flat, minimal, Lagrangian submanifolds of the n -dimensional complex space form in terms of the...
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Special Slant Surfaces with Non-constant Mean Curvature in 2-Dimensional Complex Space Forms
In the late 1990s, B. Y. Chen introduced the notion of special slant surfaces in Kähler surfaces and classified non-minimal proper special slant...
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Thermoelastic State of a Thermosensitive Half Space and a Thermosensitive Layer in Contact Under the Conditions of Complex Heat Exchange
We solve a nonstationary problem of heat conduction for a thermosensitive half space in contact with a thermosensitive layer under the conditions of...
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Transversal Killing h-Operators on Real Hypersurfaces in Nonflat Complex Space Forms
In this paper, we answer an open question proposed by Okumura (Math Slovaca 71:1553–1564, 2021) and prove that the operator h of a real hypersurface...
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Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex
This work develops optimal preconditioners for the discrete H (curl) and H (div) problems on two-dimensional surfaces by nodal auxiliary space...
