public string GetName()

public async Task ObtainingDefinitionsFromGeodatabase()
{
  await ArcGIS.Desktop.Framework.Threading.Tasks.QueuedTask.Run(() =>
  {
    using (Geodatabase geodatabase = new Geodatabase(new DatabaseConnectionFile(new Uri("path\\to\\sde\\file\\sdefile.sde"))))
    {
      IReadOnlyList<FeatureClassDefinition> enterpriseDefinitions = geodatabase.GetDefinitions<FeatureClassDefinition>();
      IEnumerable<Definition> featureClassesHavingGlobalID = enterpriseDefinitions.Where(definition => definition.HasGlobalID());

      IReadOnlyList<FeatureDatasetDefinition> featureDatasetDefinitions = geodatabase.GetDefinitions<FeatureDatasetDefinition>();
      bool electionRelatedFeatureDatasets = featureDatasetDefinitions.Any(definition => definition.GetName().Contains("Election"));

      IReadOnlyList<AttributedRelationshipClassDefinition> attributedRelationshipClassDefinitions = geodatabase.GetDefinitions<AttributedRelationshipClassDefinition>();

      IReadOnlyList<RelationshipClassDefinition> relationshipClassDefinitions = geodatabase.GetDefinitions<RelationshipClassDefinition>();
    }
  });
}

var count = rasterDataset.GetBandCount();
RasterBand rasterBandByName = rasterDataset.GetBandByName(sBandName);
var index = rasterDataset.GetBandIndex(sBandName);

// Get a RasterBand from the raster dataset
RasterBand rasterBand = rasterDataset.GetBand(0);

// Get the RasterBandDefinition from the raster band.
RasterBandDefinition rasterBandDefinition = rasterBand.GetDefinition();
// Get the name of the raster band from the raster band.
string bandName = rasterBandDefinition.GetName();