scholarly journals Generalized Kähler–Ricci flow and the classification of nondegenerate generalized Kähler surfaces

2017 ◽  
Vol 316 ◽  
pp. 187-215 ◽  
Author(s):  
Jeffrey Streets
Keyword(s):  
Ricci Flow ◽  
Kähler Surfaces

scholarly journals On the Classification of ALE Kähler Manifolds

2020 ◽  
Author(s):  
Hans-Joachim Hein ◽  
Rareş Răsdeaconu ◽  
Ioana Şuvaina
Keyword(s):  
Complex Structure ◽  
Kähler Manifold ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Quotient Singularity ◽  
Kahler Manifold ◽  
Kähler Surfaces

Abstract The underlying complex structure of an ALE Kähler manifold is exhibited as a resolution of a deformation of an isolated quotient singularity. As a consequence, there exist only finitely many diffeomorphism types of minimal ALE Kähler surfaces with a given group at infinity.

PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII0 SURFACES

1994 ◽  
Vol 05 (02) ◽  
pp. 253-264 ◽  
Author(s):  
ANDREI-DUMITRU TELEMAN
Keyword(s):  
Conformally Flat ◽  
Complete Proof ◽  
Flat Surfaces ◽  
Hermitian Surface ◽  
Projectively Flat ◽  
Locally Conformally Flat ◽  
Kähler Surfaces ◽  
Topological Character

We give a complete proof of Bogomolov's theorem on class VII 0 surfaces starting with the idea of Li, Yau and Zheng to use Kobayashi-Hitchin correspondence. We show that, because of the non-topological character of Gauduchon's degree, the proof of these authors is not complete. We prove that any projectively flat hermitian surface is locally conformally flat-Kähler, which reduces the problem to the classification of locally conformally flat-Kähler surfaces.

scholarly journals Classification of non-Kähler surfaces and locally conformally Kähler geometry

2021 ◽  
Vol 76 (2) ◽  
Author(s):  
Mikhail Sergeevich Verbitsky ◽  
Victor Vuletescu ◽  
Liviu Ornea
Keyword(s):  
Kahler Geometry ◽  
Kähler Surfaces ◽  
Locally Conformally Kähler

scholarly journals The Chern–Ricci flow on complex surfaces

2013 ◽  
Vol 149 (12) ◽  
pp. 2101-2138 ◽  
Author(s):  
Valentino Tosatti ◽  
Ben Weinkove
Keyword(s):  
Ricci Flow ◽  
Minimal Surfaces ◽  
Energy Functional ◽  
Explicit Solutions ◽  
Complex Surfaces ◽  
Hermitian Metrics ◽  
Elliptic Surfaces ◽  
Kähler Surfaces ◽  
Inoue Surfaces ◽  
Ricci Form

AbstractThe Chern–Ricci flow is an evolution equation of Hermitian metrics by their Chern–Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-collapsing, analogous to some known results for the Kähler–Ricci flow. This provides evidence that the Chern–Ricci flow carries out blow-downs of exceptional curves on non-minimal surfaces. We also describe explicit solutions to the Chern–Ricci flow for various non-Kähler surfaces. On Hopf surfaces and Inoue surfaces these solutions, appropriately normalized, collapse to a circle in the sense of Gromov–Hausdorff. For non-Kähler properly elliptic surfaces, our explicit solutions collapse to a Riemann surface. Finally, we define a Mabuchi energy functional for complex surfaces with vanishing first Bott–Chern class and show that it decreases along the Chern–Ricci flow.

scholarly journals Classification of ancient compact solutions to the Ricci flow on surfaces

2012 ◽  
Vol 91 (2) ◽  
pp. 171-214 ◽  
Author(s):  
Panagiota Daskalopoulos ◽  
Richard Hamilton ◽  
Natasa Sesum
Keyword(s):  
Ricci Flow

Note on the spectral classification of carbon stars in the photographic infrared region

1966 ◽  
Vol 24 ◽  
pp. 21-23
Author(s):  
Y. Fujita
Keyword(s):  
Infrared Region ◽  
Spectral Classification ◽  
Carbon Stars

We have investigated the spectrograms (dispersion: 8Å/mm) in the photographic infrared region fromλ7500 toλ9000 of some carbon stars obtained by the coudé spectrograph of the 74-inch reflector attached to the Okayama Astrophysical Observatory. The names of the stars investigated are listed in Table 1.

Diagnostic Value of Electron Microscopy in Soft Tissue Tumors

1970 ◽  
Vol 28 ◽  
pp. 220-221
Author(s):  
Gerald Fine ◽  
Azorides R. Morales
Keyword(s):  
Cardiac Myxoma ◽  
Osteogenic Sarcoma ◽  
Diagnostic Value ◽  
Soft Tissue Tumors ◽  
Amelanotic Melanoma ◽  
Growth Patterns ◽  
Light Microscopic Level ◽  
Mesenchymal Tumors ◽  
Good Agreement

For years the separation of carcinoma and sarcoma and the subclassification of sarcomas has been based on the appearance of the tumor cells and their microscopic growth pattern and information derived from certain histochemical and special stains. Although this method of study has produced good agreement among pathologists in the separation of carcinoma from sarcoma, it has given less uniform results in the subclassification of sarcomas. There remain examples of neoplasms of different histogenesis, the classification of which is questionable because of similar cytologic and growth patterns at the light microscopic level; i.e. amelanotic melanoma versus carcinoma and occasionally sarcoma, sarcomas with an epithelial pattern of growth simulating carcinoma, histologically similar mesenchymal tumors of different histogenesis (histiocytoma versus rhabdomyosarcoma, lytic osteogenic sarcoma versus rhabdomyosarcoma), and myxomatous mesenchymal tumors of diverse histogenesis (myxoid rhabdo and liposarcomas, cardiac myxoma, myxoid neurofibroma, etc.)

Ultrastructure of mesotheliomas

1984 ◽  
Vol 42 ◽  
pp. 98-101
Author(s):  
Irving Dardick
Keyword(s):  
Electron Microscopy ◽  
Latent Period ◽  
Spindle Cell ◽  
Spindle Cell Sarcoma ◽  
Metastatic Adenocarcinoma ◽  
Cell Sarcoma ◽  
Cytological Features ◽  
Industrial Use ◽  
Degree Of Differentiation

With the extensive industrial use of asbestos in this century and the long latent period (20-50 years) between exposure and tumor presentation, the incidence of malignant mesothelioma is now increasing. Thus, surgical pathologists are more frequently faced with the dilemma of differentiating mesothelioma from metastatic adenocarcinoma and spindle-cell sarcoma involving serosal surfaces. Electron microscopy is amodality useful in clarifying this problem.In utilizing ultrastructural features in the diagnosis of mesothelioma, it is essential to appreciate that the classification of this tumor reflects a variety of morphologic forms of differing biologic behavior (Table 1). Furthermore, with the variable histology and degree of differentiation in mesotheliomas it might be expected that the ultrastructure of such tumors also reflects a range of cytological features. Such is the case.

Interpreting HVEM of muscle-cell impulse networks

1992 ◽  
Vol 50 (1) ◽  
pp. 126-127
Author(s):  
Paul DeCosta ◽  
Kyugon Cho ◽  
Stephen Shemlon ◽  
Heesung Jun ◽  
Stanley M. Dunn
Keyword(s):  
Structural Analysis ◽  
Muscle Cell ◽  
Electron Micrographs ◽  
Relative Size ◽  
Automatic Classification ◽  
Nerve Fibers ◽  
Analysis Algorithm ◽  
Structural Networks

Introduction: The analysis and interpretation of electron micrographs of cells and tissues, often requires the accurate extraction of structural networks, which either provide immediate 2D or 3D information, or from which the desired information can be inferred. The images of these structures contain lines and/or curves whose orientation, lengths, and intersections characterize the overall network.Some examples exist of studies that have been done in the analysis of networks of natural structures. In, Sebok and Roemer determine the complexity of nerve structures in an EM formed slide. Here the number of nodes that exist in the image describes how dense nerve fibers are in a particular region of the skin. Hildith proposes a network structural analysis algorithm for the automatic classification of chromosome spreads (type, relative size and orientation).

Sign in / Sign up

Export Citation Format

Share Document