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.
El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
APPS. Applied Sciences
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Jan Kurek, Włodzimierz M. Mikulski (2007)
Annales Polonici Mathematici
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Let F:ℱol → ℱℳ be a product preserving bundle functor on the category ℱol of foliated manifolds (M,ℱ) without singularities and leaf respecting maps. We describe all natural operators C transforming infinitesimal automorphisms X ∈ 𝒳(M,ℱ) of foliated manifolds (M,ℱ) into vector fields C(X)∈ 𝒳(F(M,ℱ)) on F(M,ℱ).
Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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G. S. Hall (1984)
Banach Center Publications
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Burt Totaro (2003)
Journal of the European Mathematical Society
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Lloyd G. Roeling (1976)
Colloquium Mathematicae
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Konrad Czaja (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is known that compact complex manifolds of general type and Kobayashi hyperbolic manifolds have finite automorphism groups. We give criteria for finiteness of the automorphism group of a compact complex manifold which allow us to produce large classes of compact complex manifolds with finite automorphism group but which are neither of general type nor Kobayashi hyperbolic.
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...
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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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.
Barbara Opozda
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CONTENTSIntroduction.................................................................................................................................................51. Preliminaries...........................................................................................................................................62. f-Kählerian manifolds............................................................................................................................113. The f-sectional...
Giuseppe De Cecco, Giuliana Palmieri (1995)
Mathematische Zeitschrift
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Banghe Li (1983)
Mathematische Zeitschrift
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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...