Two criteria thrusting simple connectedness on manifolds
P. H. Doyle (1974)
Colloquium Mathematicae
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P. H. Doyle (1974)
Colloquium Mathematicae
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Francesco Costantino (2005)
Fundamenta Mathematicae
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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
APPS. Applied Sciences
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Lloyd G. Roeling (1976)
Colloquium Mathematicae
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Letizia Brunetti (2014)
Annales Polonici Mathematici
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A condition of Osserman type, called the φ-null Osserman condition, is introduced and studied in the context of Lorentz globally framed f-manifolds. An explicit example shows the naturality of this condition in the setting of Lorentz 𝓢-manifolds. We prove that a Lorentz 𝓢-manifold with constant φ-sectional curvature is φ-null Osserman, extending a well-known result in the case of Lorentz Sasaki space forms. Then we state a characterization of a particular class of φ-null Osserman 𝓢-manifolds....
L. Szamkołowicz (1969)
Colloquium Mathematicae
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Masahiro Shiota (1986)
Publications mathématiques et informatique de Rennes
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C. B. Thomas (1986)
Banach Center Publications
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Burt Totaro (2003)
Journal of the European Mathematical Society
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Franc Forstnerič (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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Oka theory has its roots in the classical Oka-Grauert principle whose main result is Grauert’s classification of principal holomorphic fiber bundles over Stein spaces. Modern Oka theory concerns holomorphic maps from Stein manifolds and Stein spaces to Oka manifolds. It has emerged as a subfield of complex geometry in its own right since the appearance of a seminal paper of M. Gromov in 1989. In this expository paper we discuss Oka manifolds and Oka maps. We describe equivalent...
Sławomir Kwasik, Witold Rosicki (2004)
Fundamenta Mathematicae
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We address the following question: How different can closed, oriented 3-manifolds be if they become homeomorphic after taking a product with a sphere? For geometric 3-manifolds this paper provides a complete answer to this question. For possibly non-geometric 3-manifolds, we establish results which concern 3-manifolds with finite fundamental group (i.e., 3-dimensional fake spherical space forms) and compare these results with results involving fake spherical space...
Arkadiusz Dobrowolski (1989)
Colloquium Mathematicae
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Habib Bouzir, Gherici Beldjilali, Mohamed Belkhelfa, Aissa Wade (2017)
Archivum Mathematicum
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The aim of this paper is two-fold. First, new generalized Kähler manifolds are constructed starting from both classical almost contact metric and almost Kählerian manifolds. Second, the transformation construction on classical Riemannian manifolds is extended to the generalized geometry setting.
Banghe Li (1983)
Mathematische Zeitschrift
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John Alexander Cruz Morales, Alexander Torres-Gomez (2019)
Archivum Mathematicum
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In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a unique cotangent F-algebroid.
Fominykh, E.A., Ovchinnikov, M.A. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Craig R. Guilbault (2007)
Fundamenta Mathematicae
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We present a characterization of those open n-manifolds (n ≥ 5) whose products with the real line are homeomorphic to interiors of compact (n+1)-manifolds with boundary.