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Lagrangian submanifolds in complex space forms satisfying an improved equality involving δ(2,2)
(Institutum Mathematicum Universitatis Debreceniesis, 2013)
It was proved in [8, 9] that every Lagrangian submanifold M of a complex space form M˜ 5 (4c) of constant holomorphic sectional curvature 4c satisfies the following optimal inequality: δ(2, 2) ≤ 25 4 H 2 + 8c, (A) where ...
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Fundamental theorems of Morse theory on posets
(AIMS, 2022-01-13)
We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using these results we extend Forman's discrete Morse theory to more general cell complexes and derive the ...
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Homotopy idempotent functors on classifying spaces
(American Mathematical Society, 2015-02)
Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have shown to be powerful tools to understand and describe the mod p structure of a space. In this paper, ...
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Some inequalities on totally real submanifolds in locally conformal Kaehler space forms
(Korean Mathematical Society, 2004)
In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the k-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler ...
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Representation theory of some infinite-dimensional algebras arising in continuously controlled algebra and topology
(Springer, 2004)
In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...
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Santilli autotopisms of partial groups
(Science Publishing Group, 2015-10)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
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Dealing with the Resolubility of Evolution Algebras
(Springer, 2022)
Although since their introduction by Tian in 2004, evolution algebras have been the subject of a very deep study in the last years due to their numerous applications to other disciplines, this study is not easy since these ...
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New examples of generalized Sasakian-space-forms
(Università di Torino, 2015)
In this paper we study when a non-anti-invariant slant submanifold of a generalized Sasakian-space-form inherits such a structure, on the assumption that it is totally geodesic, totally umbilical, totally contact geodesic ...
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K-homology and K-theory for the lamplighter groups of finite groups
(London Mathematical Society, 2017-08)
Let F be a finite group. We consider the lamplighter group L = F ≀ Z over F. We prove that L has a classifying space for proper actions EL which is a complex of dimension 2.We use this to give an explicit proof of the ...
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A note on F-sectional curvatures of S-manifolds
(Real Academia de Ciencias de Zaragoza, 1987)
This paper presents sorne characterizations of S-manifolds whose invariant f- sectional curvature is constant. The antiinvariant f-sectional curvature, the axiom of invariant f-planes and the axiom of antiinvariant f-planes ...