Search results for "Riemannian submersion"

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Some remarks on minimal surfaces in riemannian manifolds

1970

Pure mathematicsCurvature of Riemannian manifoldsRiemannian submersionApplied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisFundamental theorem of Riemannian geometryRiemannian geometry01 natural sciencesLevi-Civita connectionsymbols.namesakeRicci-flat manifold0103 physical sciencessymbolsMinimal volume010307 mathematical physicsSectional curvature0101 mathematicsMathematicsCommunications on Pure and Applied Mathematics

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PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
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  - PE2_9 Electromagnetism
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  - PE2_11Ultra-cold atoms and molecules
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- PE1Mathematics
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  - PE1_21Application of mathematics in sciences
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  - PE1_5Lie groups, Lie algebras
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  - PE1_3Number theory
- PE3Condensed Matter Physics
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  - PE3_2Mechanical and acoustical properties of condensed matter, lattice dynamics
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  - PE4_10Heterogeneous catalysis
  - PE4_9Method development in chemistry
  - PE4_11Physical chemistry of biological systems
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- PE6Computer Science and Informatics
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  - PE11_8Engineering of alternative established or emergent materials
  - PE11_9Nanomaterials engineering, e.g. nanoparticles, nanoporous materials, 1D & 2D nanomaterials
  - PE11_10Soft materials engineering, e.g. gels, foams, colloids
  - PE11_11Porous materials engineering, e.g. covalent-organic, metal-organic, porous aromatic frameworks
  - PE11_12Semi-conducting and magnetic materials engineering
  - PE11_13Metamaterials engineering
  - PE11_14Computational methods for materials engineering
LSLife Sciences
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  - LS1_9Molecular mechanisms of signalling processes
  - LS1_7Molecular biophysics, biomechanics, bioenergetics
- LS2Integrative Biology: from Genes and Genomes to Systems
  - LS2_1Genetics
  - LS2_3Epigenetics
  - LS2_2Gene editing
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  - LS2_9Metabolomics
  - LS2_10Glycomics/Lipidomics
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  - LS2_16Innovative methods and modelling in integrative biology
  - LS2_13Systems biology
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- LS4Physiology in Health, Disease and Ageing
  - LS4_1Organ and tissue physiology and pathophysiology
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- LS3Cell Biology, Development, Stem Cells and Regeneration
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- LS5Neuroscience and Disorders of the Nervous System
  - LS5_1Neuronal cells
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  - LS5_18Innovative methods and tools for neuroscience
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  - LS8_15Theoretical developments and modelling in environmental biology, ecology, and evolution
- LS9Biotechnology and Biosystems Engineering
  - LS9_3Bioengineering of cells, tissues, organs and organisms
  - LS9_2Applied genetics, gene editing and transgenic organisms
  - LS9_4Microbial biotechnology and bioengineering
  - LS9_5Food biotechnology and bioengineering
  - LS9_6Marine biotechnology and bioengineering
  - LS9_7Environmental biotechnology and bioengineering
  - LS9_8Applied plant sciences, plant breeding, agroecology and soil biology
  - LS9_10Veterinary and applied animal sciences
  - LS9_9Plant pathology and pest resistance
  - LS9_11Biomass production and utilisation, biofuels
  - LS9_12Ecotoxicology, biohazards and biosafety
  - LS9_1Bioengineering for synthetic and chemical biology
SHSocial Sciences and Humanities
- SH2Institutions, Governance and Legal Systems
  - SH2_1Political systems, governance
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  - SH4_1Cognitive basis of human development, developmental disorders; comparative cognition
  - SH4_2Personality and social cognition; emotion
  - SH4_3Clinical and health psychology
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  - SH4_9Theoretical linguistics; computational linguistics
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- SH6The Study of the Human Past
  - SH6_1Archaeological methods and theory, history of archaeology
  - SH6_2Prehistoric archaeology, archaeology of non-literate societies
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  - SH6_6Digital, computational, virtual and geospatial archaeologies
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  - SH6_11Global, transnational, and comparative history
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- SH5Texts and Concepts
  - SH5_4Philology; text and image studies
  - SH5_1Classics, ancient literature
  - SH5_5Palaeography and codicology
  - SH5_3Book studies
  - SH5_6Philosophy of mind, philosophy of language
  - SH5_7Philosophy of science, epistemology, logic
  - SH5_8Metaphysics, philosophical anthropology; aesthetics
  - SH5_9Ethics and its applications; social philosophy
  - SH5_10History of philosophy
  - SH5_11Digital humanities; digital approaches to literary studies and philosophy
  - SH5_2Theory and history of literature, comparative literature
- SH7Human Mobility, Environment, and Space
  - SH7_2Migration
  - SH7_1Human, economic and social geography
  - SH7_3Population dynamics: households, family and fertility
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  - SH7_4Social aspects of health, ageing and society
  - SH7_6Environmental and climate change, societal impact and policy
  - SH7_7Cities; urban, regional and rural studies
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  - SH7_10GIS, spatial analysis; digital geography
  - SH7_9Energy, transportation and mobility
- SH8Studies of Cultures and Arts
  - SH8_1Kinship; diversity and identities, gender, interethnic relations
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  - SH8_5History of art and of architecture
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  - SH8_8Visual and performing arts, screen, arts-based research
  - SH8_9Digital approaches to anthropology, cultural studies and art